0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command    : run_vampire %s %d THM
0.07/0.33	% Computer   : n006.cluster.edu
0.07/0.33	% Model      : x86_64 x86_64
0.07/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.07/0.33	% Memory     : 8046.5625MB
0.07/0.33	% OS         : Linux 6.8.0-71-generic
0.07/0.34	% CPULimit   : 1440
0.07/0.34	% WCLimit    : 180
0.07/0.34	% DateTime   : Mon Jul 27 10:27:19 UTC 2026
0.07/0.34	% CPUTime    : 
0.13/0.37	This is a FOF_ problem
0.13/0.38	Running first-order theorem proving
0.13/0.38	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.43	% (2698632)Running in auto input_syntax mode. Trying TPTP
0.13/0.43	% (2698634)lrs+1011_1_sp=occurrence:random_seed=3077903262:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi)
0.13/0.47	% (2698632)Running in auto input_syntax mode. Trying TPTP
0.13/0.47	% (2698637)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=2578733090:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi)
0.13/0.47	% (2698632)Running in auto input_syntax mode. Trying TPTP
0.13/0.47	% (2698635)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=1333412987:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi)
0.13/0.47	% (2698632)Running in auto input_syntax mode. Trying TPTP
0.13/0.47	% (2698636)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=50894138:s2a=on:i=272356:sd=1:bd=all:ss=included_1799 on theBenchmark for (1799ds/272356Mi)
0.13/0.47	% (2698632)Running in auto input_syntax mode. Trying TPTP
0.13/0.47	% (2698639)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=418308764:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi)
0.13/0.47	% (2698632)Running in auto input_syntax mode. Trying TPTP
0.13/0.47	% (2698640)dis+1011_1_slsqr=8,1:sil=2000:spb=units:fd=off:kmz=on:flr=on:sac=on:slsq=on:random_seed=3195044080:st=2:i=121:sd=30:afp=100000:aac=none:ep=RS:ss=axioms:sgt=10_1799 on theBenchmark for (1799ds/121Mi)
0.71/0.50	% (2698632)Running in auto input_syntax mode. Trying TPTP
0.71/0.50	% (2698638)lrs+10_2:3_to=lpo:sil=16000:sp=arity:random_seed=2066694468:i=114:bd=all:ss=axioms:sgt=4_1799 on theBenchmark for (1799ds/114Mi)
0.71/0.52	% (2698640)Instruction limit reached! 
0.71/0.52	% (2698640)------------------------------
0.71/0.52	% (2698640)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.71/0.52	% (2698640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.71/0.52	% (2698640)Termination reason: Instruction limit
0.71/0.52	% (2698640)Termination phase: Saturation
0.71/0.52	
0.71/0.52	% (2698640)Time elapsed: 0.049 s
0.71/0.52	% (2698640)Peak memory usage: 12 MB
0.71/0.52	% (2698640)Instructions burned: 123 (million)
0.71/0.54	% (2698637)Instruction limit reached! 
0.71/0.54	% (2698637)------------------------------
0.71/0.54	% (2698637)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.71/0.54	% (2698637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.71/0.54	% (2698637)Termination reason: Instruction limit
0.71/0.54	% (2698637)Termination phase: Saturation
0.71/0.54	
0.71/0.54	% (2698637)Time elapsed: 0.072 s
0.71/0.54	% (2698637)Peak memory usage: 13 MB
0.71/0.54	% (2698637)Instructions burned: 108 (million)
0.71/0.56	% (2698639)Instruction limit reached! 
0.71/0.56	% (2698639)------------------------------
0.71/0.56	% (2698639)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.71/0.56	% (2698639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.71/0.56	% (2698639)Termination reason: Instruction limit
0.71/0.56	% (2698639)Termination phase: Saturation
0.71/0.56	
0.71/0.56	% (2698639)Time elapsed: 0.093 s
0.71/0.56	% (2698639)Peak memory usage: 13 MB
0.71/0.56	% (2698639)Instructions burned: 133 (million)
0.71/0.57	% (2698638)Instruction limit reached! 
0.71/0.57	% (2698638)------------------------------
0.71/0.57	% (2698638)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.71/0.57	% (2698638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.71/0.57	% (2698638)Termination reason: Instruction limit
0.71/0.57	% (2698638)Termination phase: Saturation
0.71/0.57	
0.71/0.57	% (2698638)Time elapsed: 0.074 s
0.71/0.57	% (2698638)Peak memory usage: 13 MB
0.71/0.57	% (2698638)Instructions burned: 114 (million)
0.71/0.59	% (2698632)Running in auto input_syntax mode. Trying TPTP
0.71/0.59	% (2698648)lrs+10_1_sil=2000:sos=on:random_seed=2256351909:i=135:sd=2:gtg=position:ss=axioms_1798 on theBenchmark for (1798ds/135Mi)
0.71/0.59	% (2698648)Refutation not found, incomplete strategy% (2698648)------------------------------
0.71/0.59	% (2698648)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.71/0.59	% (2698648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.71/0.59	% (2698648)Termination reason: Refutation not found, incomplete strategy
0.71/0.59	
0.71/0.59	% (2698648)Time elapsed: 0.001 s
0.71/0.59	% (2698648)Peak memory usage: 12 MB
0.71/0.59	% (2698648)------------------------------
0.71/0.59	% (2698648)------------------------------
1.45/0.61	% (2698632)Running in auto input_syntax mode. Trying TPTP
1.45/0.61	% (2698649)lrs+1011_1_sil=16000:random_seed=3455203927:i=269:sd=10:ss=axioms:sgt=16_1798 on theBenchmark for (1798ds/269Mi)
1.62/0.65	% (2698632)Running in auto input_syntax mode. Trying TPTP
1.62/0.65	% (2698650)dis+1010_4_sil=2000:sos=on:sac=on:random_seed=4213950962:i=140:sd=1:ss=axioms_1798 on theBenchmark for (1798ds/140Mi)
1.62/0.65	% (2698650)Refutation not found, incomplete strategy% (2698650)------------------------------
1.62/0.65	% (2698650)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
1.62/0.65	% (2698650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
1.62/0.65	% (2698650)Termination reason: Refutation not found, incomplete strategy
1.62/0.65	
1.62/0.65	% (2698650)Time elapsed: 0.0000 s
1.62/0.65	% (2698650)Peak memory usage: 11 MB
1.62/0.65	% (2698650)------------------------------
1.62/0.65	% (2698650)------------------------------
1.62/0.66	% (2698632)Running in auto input_syntax mode. Trying TPTP
1.62/0.66	% (2698651)ott+11_4:1_slsqr=8,1:to=kbo:sil=4000:spb=goal:bsr=on:slsq=on:random_seed=2965268675:s2pl=on:st=3:s2a=on:i=124:gtgl=4:sd=1:kws=inv_arity:ep=RST:gtg=position:ss=axioms:fsd=on_1798 on theBenchmark for (1798ds/124Mi)
1.62/0.66	% (2698651)Refutation not found, incomplete strategy% (2698651)------------------------------
1.62/0.66	% (2698651)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
1.62/0.66	% (2698651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
1.62/0.66	% (2698651)Termination reason: Refutation not found, incomplete strategy
1.62/0.66	
1.62/0.66	% (2698651)Time elapsed: 0.001 s
1.62/0.66	% (2698651)Peak memory usage: 12 MB
1.62/0.66	% (2698651)Instructions burned: 1 (million)
1.62/0.66	% (2698651)------------------------------
1.62/0.66	% (2698651)------------------------------
1.62/0.67	% (2698632)Running in auto input_syntax mode. Trying TPTP
1.62/0.67	% (2698653)ott+1010_1_to=lpo:sil=32000:fde=none:sos=on:spb=goal_then_units:urr=on:random_seed=1564559815:st=2.5:cts=off:i=297:sd=4:ins=10:gsp=on:ss=axioms_1797 on theBenchmark for (1797ds/297Mi)
1.62/0.67	% (2698653)Refutation not found, incomplete strategy% (2698653)------------------------------
1.62/0.67	% (2698653)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
1.62/0.67	% (2698653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
1.62/0.67	% (2698653)Termination reason: Refutation not found, incomplete strategy
1.62/0.67	
1.62/0.67	% (2698653)Time elapsed: 0.003 s
1.62/0.67	% (2698653)Peak memory usage: 12 MB
1.62/0.67	% (2698653)Instructions burned: 4 (million)
1.62/0.67	% (2698653)------------------------------
1.62/0.67	% (2698653)------------------------------
2.09/0.72	% (2698632)Running in auto input_syntax mode. Trying TPTP
2.09/0.72	% (2698656)lrs-1002_1_sil=2000:random_seed=1894193646:i=641:sd=20:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/641Mi)
2.09/0.74	% (2698632)Running in auto input_syntax mode. Trying TPTP
2.09/0.74	% (2698658)lrs+1011_1_sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=all:erd=off:random_seed=3229936035:st=5:i=160:sup=off:ss=included_1797 on theBenchmark for (1797ds/160Mi)
2.09/0.75	% (2698632)Running in auto input_syntax mode. Trying TPTP
2.09/0.75	% (2698660)lrs+10_16:1_sil=2000:sp=reverse_frequency:bsr=unit_only:lcm=predicate:random_seed=918139419:avsq=on:i=433:kws=inv_frequency:afp=1000:bs=unit_only:gtg=exists_sym_1797 on theBenchmark for (1797ds/433Mi)
2.09/0.78	% (2698649)Instruction limit reached! 
2.09/0.78	% (2698649)------------------------------
2.09/0.78	% (2698649)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
2.09/0.78	% (2698649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
2.09/0.78	% (2698649)Termination reason: Instruction limit
2.09/0.78	% (2698649)Termination phase: Saturation
2.09/0.78	
2.09/0.78	% (2698649)Time elapsed: 0.162 s
2.09/0.78	% (2698649)Peak memory usage: 14 MB
2.09/0.78	% (2698649)Instructions burned: 269 (million)
2.48/0.83	% (2698658)Instruction limit reached! 
2.48/0.83	% (2698658)------------------------------
2.48/0.83	% (2698658)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
2.48/0.83	% (2698658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
2.48/0.83	% (2698658)Termination reason: Instruction limit
2.48/0.83	% (2698658)Termination phase: Saturation
2.48/0.83	
2.48/0.83	% (2698658)Time elapsed: 0.085 s
2.48/0.83	% (2698658)Peak memory usage: 13 MB
2.48/0.83	% (2698658)Instructions burned: 161 (million)
2.48/0.85	% (2698632)Running in auto input_syntax mode. Trying TPTP
2.48/0.85	% (2698664)lrs+1011_32_sfv=off:sil=128000:sos=all:newcnf=on:random_seed=1207694313:cond=fast:i=114:nm=2:fsr=off:gtg=all:ss=axioms_1796 on theBenchmark for (1796ds/114Mi)
2.95/0.90	% (2698632)Running in auto input_syntax mode. Trying TPTP
2.95/0.90	% (2698665)lrs+10_64_sil=16000:sos=on:urr=on:br=off:random_seed=632298797:st=2.2:i=120:sd=1:nm=2:gtg=all:ss=axioms_1795 on theBenchmark for (1795ds/120Mi)
2.95/0.91	% (2698664)Instruction limit reached! 
2.95/0.91	% (2698664)------------------------------
2.95/0.91	% (2698664)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
2.95/0.91	% (2698664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
2.95/0.91	% (2698664)Termination reason: Instruction limit
2.95/0.91	% (2698664)Termination phase: Saturation
2.95/0.91	
2.95/0.91	% (2698664)Time elapsed: 0.060 s
2.95/0.91	% (2698664)Peak memory usage: 13 MB
2.95/0.91	% (2698664)Instructions burned: 114 (million)
2.95/0.97	% (2698665)First to succeed.
2.95/0.97	% (2698665)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2698632"
2.95/0.97	% (2698632)Running in auto input_syntax mode. Trying TPTP
2.95/0.97	% (2698665)Refutation found. Thanks to Tanya!
2.95/0.97	% SZS status Theorem for theBenchmark
2.95/0.97	% SZS output start Proof for theBenchmark
2.95/0.97	fof(f965,plain,(
2.95/0.97	  $false),
2.95/0.97	  inference(subsumption_resolution,[],[f956,f285])).
2.95/0.97	fof(f285,plain,(
2.95/0.97	  ~iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f158,f92,f79,f268,f126])).
2.95/0.97	fof(f126,plain,(
2.95/0.97	  ( ! [X2,X3,X10,X0,X11,X1,X8,X9] : (~sP4(X0,X1,X2,X3) | ~iext(X1,X8,X9) | ~iext(X2,X9,X10) | ~iext(X3,X10,X11) | iext(X0,X8,X11)) )),
2.95/0.97	  inference(cnf_transformation,[],[f66])).
2.95/0.97	fof(f66,plain,(
2.95/0.97	  ! [X0,X1,X2,X3] : ((sP4(X0,X1,X2,X3) | (~iext(X0,sK18(X0,X1,X2,X3),sK21(X0,X1,X2,X3)) & iext(X1,sK18(X0,X1,X2,X3),sK19(X0,X1,X2,X3)) & iext(X2,sK19(X0,X1,X2,X3),sK20(X0,X1,X2,X3)) & iext(X3,sK20(X0,X1,X2,X3),sK21(X0,X1,X2,X3)))) & (! [X8,X9,X10,X11] : (iext(X0,X8,X11) | ~iext(X1,X8,X9) | ~iext(X2,X9,X10) | ~iext(X3,X10,X11)) | ~sP4(X0,X1,X2,X3)))),
2.95/0.97	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f64,f65])).
2.95/0.97	fof(f65,plain,(
2.95/0.97	  ! [X0,X1,X2,X3] : (? [X4,X5,X6,X7] : (~iext(X0,X4,X7) & iext(X1,X4,X5) & iext(X2,X5,X6) & iext(X3,X6,X7)) => (~iext(X0,sK18(X0,X1,X2,X3),sK21(X0,X1,X2,X3)) & iext(X1,sK18(X0,X1,X2,X3),sK19(X0,X1,X2,X3)) & iext(X2,sK19(X0,X1,X2,X3),sK20(X0,X1,X2,X3)) & iext(X3,sK20(X0,X1,X2,X3),sK21(X0,X1,X2,X3))))),
2.95/0.97	  introduced(definition,[],[choice_axiom])).
2.95/0.97	fof(f64,plain,(
2.95/0.97	  ! [X0,X1,X2,X3] : ((sP4(X0,X1,X2,X3) | ? [X4,X5,X6,X7] : (~iext(X0,X4,X7) & iext(X1,X4,X5) & iext(X2,X5,X6) & iext(X3,X6,X7))) & (! [X8,X9,X10,X11] : (iext(X0,X8,X11) | ~iext(X1,X8,X9) | ~iext(X2,X9,X10) | ~iext(X3,X10,X11)) | ~sP4(X0,X1,X2,X3)))),
2.95/0.97	  inference(rectify,[],[f63])).
2.95/0.97	fof(f63,plain,(
2.95/0.97	  ! [X0,X2,X4,X6] : ((sP4(X0,X2,X4,X6) | ? [X7,X8,X9,X10] : (~iext(X0,X7,X10) & iext(X2,X7,X8) & iext(X4,X8,X9) & iext(X6,X9,X10))) & (! [X7,X8,X9,X10] : (iext(X0,X7,X10) | ~iext(X2,X7,X8) | ~iext(X4,X8,X9) | ~iext(X6,X9,X10)) | ~sP4(X0,X2,X4,X6)))),
2.95/0.97	  inference(nnf_transformation,[],[f31])).
2.95/0.97	fof(f31,plain,(
2.95/0.97	  ! [X0,X2,X4,X6] : (sP4(X0,X2,X4,X6) <=> ! [X7,X8,X9,X10] : (iext(X0,X7,X10) | ~iext(X2,X7,X8) | ~iext(X4,X8,X9) | ~iext(X6,X9,X10)))),
2.95/0.97	  introduced(definition,[new_symbols(naming,[sP4])],[predicate_definition_introduction])).
2.95/0.97	fof(f268,plain,(
2.95/0.97	  sP4(uri_foaf_knows,uri_rdf_type,uri_ex_sameCliqueAs,sK9)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f254,f124])).
2.95/0.97	fof(f124,plain,(
2.95/0.97	  ( ! [X2,X3,X0,X1] : (~sP5(X0,X1,X2,X3) | sP4(X3,X2,X1,X0)) )),
2.95/0.97	  inference(cnf_transformation,[],[f62])).
2.95/0.97	fof(f62,plain,(
2.95/0.97	  ! [X0,X1,X2,X3] : ((sP5(X0,X1,X2,X3) | ~sP4(X3,X2,X1,X0) | ~ip(X0) | ~ip(X1) | ~ip(X2) | ~ip(X3)) & ((sP4(X3,X2,X1,X0) & ip(X0) & ip(X1) & ip(X2) & ip(X3)) | ~sP5(X0,X1,X2,X3)))),
2.95/0.97	  inference(rectify,[],[f61])).
2.95/0.97	fof(f61,plain,(
2.95/0.97	  ! [X6,X4,X2,X0] : ((sP5(X6,X4,X2,X0) | ~sP4(X0,X2,X4,X6) | ~ip(X6) | ~ip(X4) | ~ip(X2) | ~ip(X0)) & ((sP4(X0,X2,X4,X6) & ip(X6) & ip(X4) & ip(X2) & ip(X0)) | ~sP5(X6,X4,X2,X0)))),
2.95/0.97	  inference(flattening,[],[f60])).
2.95/0.97	fof(f60,plain,(
2.95/0.97	  ! [X6,X4,X2,X0] : ((sP5(X6,X4,X2,X0) | (~sP4(X0,X2,X4,X6) | ~ip(X6) | ~ip(X4) | ~ip(X2) | ~ip(X0))) & ((sP4(X0,X2,X4,X6) & ip(X6) & ip(X4) & ip(X2) & ip(X0)) | ~sP5(X6,X4,X2,X0)))),
2.95/0.97	  inference(nnf_transformation,[],[f32])).
2.95/0.97	fof(f32,plain,(
2.95/0.97	  ! [X6,X4,X2,X0] : (sP5(X6,X4,X2,X0) <=> (sP4(X0,X2,X4,X6) & ip(X6) & ip(X4) & ip(X2) & ip(X0)))),
2.95/0.97	  introduced(definition,[new_symbols(naming,[sP5])],[predicate_definition_introduction])).
2.95/0.97	fof(f254,plain,(
2.95/0.97	  sP5(sK9,uri_ex_sameCliqueAs,uri_rdf_type,uri_foaf_knows)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f86,f168,f119])).
2.95/0.97	fof(f119,plain,(
2.95/0.97	  ( ! [X2,X3,X0,X1,X4] : (~sP6(X0,X1,X2,X3,X4) | ~iext(uri_owl_propertyChainAxiom,X1,X0) | sP5(X4,X3,X2,X1)) )),
2.95/0.97	  inference(cnf_transformation,[],[f59])).
2.95/0.97	fof(f59,plain,(
2.95/0.97	  ! [X0,X1,X2,X3,X4] : (((sP5(X4,X3,X2,X1) | ~iext(uri_owl_propertyChainAxiom,X1,X0)) & (iext(uri_owl_propertyChainAxiom,X1,X0) | ~sP5(X4,X3,X2,X1))) | ~sP6(X0,X1,X2,X3,X4))),
2.95/0.97	  inference(rectify,[],[f58])).
2.95/0.97	fof(f58,plain,(
2.95/0.97	  ! [X1,X0,X2,X4,X6] : (((sP5(X6,X4,X2,X0) | ~iext(uri_owl_propertyChainAxiom,X0,X1)) & (iext(uri_owl_propertyChainAxiom,X0,X1) | ~sP5(X6,X4,X2,X0))) | ~sP6(X1,X0,X2,X4,X6))),
2.95/0.97	  inference(nnf_transformation,[],[f33])).
2.95/0.97	fof(f33,plain,(
2.95/0.97	  ! [X1,X0,X2,X4,X6] : ((sP5(X6,X4,X2,X0) <=> iext(uri_owl_propertyChainAxiom,X0,X1)) | ~sP6(X1,X0,X2,X4,X6))),
2.95/0.97	  introduced(definition,[new_symbols(naming,[sP6])],[predicate_definition_introduction])).
2.95/0.97	fof(f168,plain,(
2.95/0.97	  ( ! [X0] : (sP6(sK10,X0,uri_rdf_type,uri_ex_sameCliqueAs,sK9)) )),
2.95/0.97	  inference(unit_resulting_resolution,[],[f77,f83,f82,f84,f76,f85,f131])).
2.95/0.97	fof(f131,plain,(
2.95/0.97	  ( ! [X2,X3,X0,X1,X6,X4,X5] : (~iext(uri_rdf_first,X5,X6) | ~iext(uri_rdf_first,X1,X2) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X3,X4) | sP6(X1,X0,X2,X4,X6) | ~iext(uri_rdf_rest,X5,uri_rdf_nil) | ~iext(uri_rdf_rest,X3,X5)) )),
2.95/0.97	  inference(cnf_transformation,[],[f34])).
2.95/0.97	fof(f34,plain,(
2.95/0.97	  ! [X0,X1,X2,X3,X4,X5,X6] : (sP6(X1,X0,X2,X4,X6) | ~iext(uri_rdf_first,X1,X2) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_first,X5,X6) | ~iext(uri_rdf_rest,X5,uri_rdf_nil) | ~iext(uri_rdf_rest,X3,X5))),
2.95/0.97	  inference(definition_folding,[],[f22,f33,f32,f31])).
2.95/0.97	fof(f22,plain,(
2.95/0.97	  ! [X0,X1,X2,X3,X4,X5,X6] : (((! [X7,X8,X9,X10] : (iext(X0,X7,X10) | ~iext(X2,X7,X8) | ~iext(X4,X8,X9) | ~iext(X6,X9,X10)) & ip(X6) & ip(X4) & ip(X2) & ip(X0)) <=> iext(uri_owl_propertyChainAxiom,X0,X1)) | ~iext(uri_rdf_first,X1,X2) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_first,X5,X6) | ~iext(uri_rdf_rest,X5,uri_rdf_nil) | ~iext(uri_rdf_rest,X3,X5))),
2.95/0.97	  inference(flattening,[],[f21])).
2.95/0.97	fof(f21,plain,(
2.95/0.97	  ! [X0,X1,X2,X3,X4,X5,X6] : (((! [X7,X8,X9,X10] : (iext(X0,X7,X10) | (~iext(X2,X7,X8) | ~iext(X4,X8,X9) | ~iext(X6,X9,X10))) & ip(X6) & ip(X4) & ip(X2) & ip(X0)) <=> iext(uri_owl_propertyChainAxiom,X0,X1)) | (~iext(uri_rdf_first,X1,X2) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_first,X5,X6) | ~iext(uri_rdf_rest,X5,uri_rdf_nil) | ~iext(uri_rdf_rest,X3,X5)))),
2.95/0.97	  inference(ennf_transformation,[],[f16])).
2.95/0.97	fof(f16,plain,(
2.95/0.97	  ! [X0,X1,X2,X3,X4,X5,X6] : ((iext(uri_rdf_first,X1,X2) & iext(uri_rdf_rest,X1,X3) & iext(uri_rdf_first,X3,X4) & iext(uri_rdf_first,X5,X6) & iext(uri_rdf_rest,X5,uri_rdf_nil) & iext(uri_rdf_rest,X3,X5)) => ((! [X7,X8,X9,X10] : ((iext(X2,X7,X8) & iext(X4,X8,X9) & iext(X6,X9,X10)) => iext(X0,X7,X10)) & ip(X6) & ip(X4) & ip(X2) & ip(X0)) <=> iext(uri_owl_propertyChainAxiom,X0,X1)))),
2.95/0.97	  inference(rectify,[],[f8])).
2.95/0.97	fof(f8,axiom,(
2.95/0.97	  ! [X5,X12,X0,X13,X1,X14,X15] : ((iext(uri_rdf_first,X12,X0) & iext(uri_rdf_rest,X12,X13) & iext(uri_rdf_first,X13,X1) & iext(uri_rdf_first,X14,X15) & iext(uri_rdf_rest,X14,uri_rdf_nil) & iext(uri_rdf_rest,X13,X14)) => ((! [X16,X17,X18,X19] : ((iext(X0,X16,X17) & iext(X1,X17,X18) & iext(X15,X18,X19)) => iext(X5,X16,X19)) & ip(X15) & ip(X1) & ip(X0) & ip(X5)) <=> iext(uri_owl_propertyChainAxiom,X5,X12)))),
2.95/0.97	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
2.95/0.97	fof(f85,plain,(
2.95/0.97	  iext(uri_rdf_first,sK10,uri_rdf_type)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f38,plain,(
2.95/0.97	  iext(uri_rdfs_subClassOf,uri_ex_Clique,sK8) & iext(uri_rdf_type,sK8,uri_owl_Restriction) & iext(uri_owl_onProperty,sK8,uri_ex_sameCliqueAs) & iext(uri_owl_someValuesFrom,sK8,uri_ex_Clique) & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty) & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK10) & iext(uri_rdf_first,sK10,uri_rdf_type) & iext(uri_rdf_first,sK11,uri_ex_sameCliqueAs) & iext(uri_rdf_rest,sK11,sK12) & iext(uri_rdf_rest,sK12,uri_rdf_nil) & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) & iext(uri_owl_inverseOf,sK9,uri_rdf_type) & iext(uri_rdf_first,sK12,sK9) & iext(uri_rdf_rest,sK10,sK11) & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique) & iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) & iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)),
2.95/0.97	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12])],[f11,f37])).
2.95/0.97	fof(f37,plain,(
2.95/0.97	  ? [X0,X1,X2,X3,X4] : (iext(uri_rdfs_subClassOf,uri_ex_Clique,X0) & iext(uri_rdf_type,X0,uri_owl_Restriction) & iext(uri_owl_onProperty,X0,uri_ex_sameCliqueAs) & iext(uri_owl_someValuesFrom,X0,uri_ex_Clique) & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty) & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X2) & iext(uri_rdf_first,X2,uri_rdf_type) & iext(uri_rdf_first,X3,uri_ex_sameCliqueAs) & iext(uri_rdf_rest,X3,X4) & iext(uri_rdf_rest,X4,uri_rdf_nil) & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) & iext(uri_owl_inverseOf,X1,uri_rdf_type) & iext(uri_rdf_first,X4,X1) & iext(uri_rdf_rest,X2,X3) & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique) & iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) & iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)) => (iext(uri_rdfs_subClassOf,uri_ex_Clique,sK8) & iext(uri_rdf_type,sK8,uri_owl_Restriction) & iext(uri_owl_onProperty,sK8,uri_ex_sameCliqueAs) & iext(uri_owl_someValuesFrom,sK8,uri_ex_Clique) & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty) & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK10) & iext(uri_rdf_first,sK10,uri_rdf_type) & iext(uri_rdf_first,sK11,uri_ex_sameCliqueAs) & iext(uri_rdf_rest,sK11,sK12) & iext(uri_rdf_rest,sK12,uri_rdf_nil) & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) & iext(uri_owl_inverseOf,sK9,uri_rdf_type) & iext(uri_rdf_first,sK12,sK9) & iext(uri_rdf_rest,sK10,sK11) & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique) & iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) & iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class))),
2.95/0.97	  introduced(definition,[],[choice_axiom])).
2.95/0.97	fof(f11,plain,(
2.95/0.97	  ? [X0,X1,X2,X3,X4] : (iext(uri_rdfs_subClassOf,uri_ex_Clique,X0) & iext(uri_rdf_type,X0,uri_owl_Restriction) & iext(uri_owl_onProperty,X0,uri_ex_sameCliqueAs) & iext(uri_owl_someValuesFrom,X0,uri_ex_Clique) & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty) & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X2) & iext(uri_rdf_first,X2,uri_rdf_type) & iext(uri_rdf_first,X3,uri_ex_sameCliqueAs) & iext(uri_rdf_rest,X3,X4) & iext(uri_rdf_rest,X4,uri_rdf_nil) & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) & iext(uri_owl_inverseOf,X1,uri_rdf_type) & iext(uri_rdf_first,X4,X1) & iext(uri_rdf_rest,X2,X3) & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique) & iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) & iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class))),
2.95/0.97	  inference(rectify,[],[f5])).
2.95/0.97	fof(f5,negated_conjecture,(
2.95/0.97	  ? [X7,X8,X9,X10,X11] : (iext(uri_rdfs_subClassOf,uri_ex_Clique,X7) & iext(uri_rdf_type,X7,uri_owl_Restriction) & iext(uri_owl_onProperty,X7,uri_ex_sameCliqueAs) & iext(uri_owl_someValuesFrom,X7,uri_ex_Clique) & iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty) & iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X9) & iext(uri_rdf_first,X9,uri_rdf_type) & iext(uri_rdf_first,X10,uri_ex_sameCliqueAs) & iext(uri_rdf_rest,X10,X11) & iext(uri_rdf_rest,X11,uri_rdf_nil) & iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique) & iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) & iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang) & iext(uri_owl_inverseOf,X8,uri_rdf_type) & iext(uri_rdf_first,X11,X8) & iext(uri_rdf_rest,X9,X10) & iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique) & iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs) & iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class))),
2.95/0.97	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
2.95/0.97	fof(f76,plain,(
2.95/0.97	  iext(uri_rdf_rest,sK10,sK11)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f84,plain,(
2.95/0.97	  iext(uri_rdf_first,sK11,uri_ex_sameCliqueAs)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f82,plain,(
2.95/0.97	  iext(uri_rdf_rest,sK12,uri_rdf_nil)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f83,plain,(
2.95/0.97	  iext(uri_rdf_rest,sK11,sK12)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f77,plain,(
2.95/0.97	  iext(uri_rdf_first,sK12,sK9)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f86,plain,(
2.95/0.97	  iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK10)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f79,plain,(
2.95/0.97	  iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f92,plain,(
2.95/0.97	  ~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
2.95/0.97	  inference(cnf_transformation,[],[f12])).
2.95/0.97	fof(f12,plain,(
2.95/0.97	  ~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
2.95/0.97	  inference(flattening,[],[f7])).
2.95/0.97	fof(f7,negated_conjecture,(
2.95/0.97	  ~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
2.95/0.97	  inference(negated_conjecture,[status(cth)],[f6])).
2.95/0.97	fof(f6,conjecture,(
2.95/0.97	  iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
2.95/0.97	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
2.95/0.97	fof(f158,plain,(
2.95/0.97	  iext(sK9,uri_ex_JoesGang,uri_ex_bob)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f150,f80,f93])).
2.95/0.97	fof(f93,plain,(
2.95/0.97	  ( ! [X0,X1,X4,X5] : (~iext(X1,X5,X4) | iext(X0,X4,X5) | ~sP0(X0,X1)) )),
2.95/0.97	  inference(cnf_transformation,[],[f42])).
2.95/0.97	fof(f42,plain,(
2.95/0.97	  ! [X0,X1] : ((sP0(X0,X1) | ((~iext(X0,sK13(X0,X1),sK14(X0,X1)) | ~iext(X1,sK14(X0,X1),sK13(X0,X1))) & (iext(X0,sK13(X0,X1),sK14(X0,X1)) | iext(X1,sK14(X0,X1),sK13(X0,X1))))) & (! [X4,X5] : ((iext(X1,X5,X4) | ~iext(X0,X4,X5)) & (iext(X0,X4,X5) | ~iext(X1,X5,X4))) | ~sP0(X0,X1)))),
2.95/0.97	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f40,f41])).
2.95/0.97	fof(f41,plain,(
2.95/0.97	  ! [X0,X1] : (? [X2,X3] : ((~iext(X0,X2,X3) | ~iext(X1,X3,X2)) & (iext(X0,X2,X3) | iext(X1,X3,X2))) => ((~iext(X0,sK13(X0,X1),sK14(X0,X1)) | ~iext(X1,sK14(X0,X1),sK13(X0,X1))) & (iext(X0,sK13(X0,X1),sK14(X0,X1)) | iext(X1,sK14(X0,X1),sK13(X0,X1)))))),
2.95/0.97	  introduced(definition,[],[choice_axiom])).
2.95/0.97	fof(f40,plain,(
2.95/0.97	  ! [X0,X1] : ((sP0(X0,X1) | ? [X2,X3] : ((~iext(X0,X2,X3) | ~iext(X1,X3,X2)) & (iext(X0,X2,X3) | iext(X1,X3,X2)))) & (! [X4,X5] : ((iext(X1,X5,X4) | ~iext(X0,X4,X5)) & (iext(X0,X4,X5) | ~iext(X1,X5,X4))) | ~sP0(X0,X1)))),
2.95/0.97	  inference(rectify,[],[f39])).
2.95/0.97	fof(f39,plain,(
2.95/0.97	  ! [X0,X1] : ((sP0(X0,X1) | ? [X2,X3] : ((~iext(X0,X2,X3) | ~iext(X1,X3,X2)) & (iext(X0,X2,X3) | iext(X1,X3,X2)))) & (! [X2,X3] : ((iext(X1,X3,X2) | ~iext(X0,X2,X3)) & (iext(X0,X2,X3) | ~iext(X1,X3,X2))) | ~sP0(X0,X1)))),
2.95/0.97	  inference(nnf_transformation,[],[f24])).
2.95/0.97	fof(f24,plain,(
2.95/0.97	  ! [X0,X1] : (sP0(X0,X1) <=> ! [X2,X3] : (iext(X1,X3,X2) <=> iext(X0,X2,X3)))),
2.95/0.97	  introduced(definition,[new_symbols(naming,[sP0])],[predicate_definition_introduction])).
2.95/0.97	fof(f80,plain,(
2.95/0.97	  iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f150,plain,(
2.95/0.97	  sP0(sK9,uri_rdf_type)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f78,f99])).
2.95/0.97	fof(f99,plain,(
2.95/0.97	  ( ! [X0,X1] : (~iext(uri_owl_inverseOf,X0,X1) | sP0(X0,X1)) )),
2.95/0.97	  inference(cnf_transformation,[],[f44])).
2.95/0.97	fof(f44,plain,(
2.95/0.97	  ! [X0,X1] : ((iext(uri_owl_inverseOf,X0,X1) | ~sP0(X0,X1) | ~ip(X1) | ~ip(X0)) & ((sP0(X0,X1) & ip(X1) & ip(X0)) | ~iext(uri_owl_inverseOf,X0,X1)))),
2.95/0.97	  inference(flattening,[],[f43])).
2.95/0.97	fof(f43,plain,(
2.95/0.97	  ! [X0,X1] : ((iext(uri_owl_inverseOf,X0,X1) | (~sP0(X0,X1) | ~ip(X1) | ~ip(X0))) & ((sP0(X0,X1) & ip(X1) & ip(X0)) | ~iext(uri_owl_inverseOf,X0,X1)))),
2.95/0.97	  inference(nnf_transformation,[],[f25])).
2.95/0.97	fof(f25,plain,(
2.95/0.97	  ! [X0,X1] : (iext(uri_owl_inverseOf,X0,X1) <=> (sP0(X0,X1) & ip(X1) & ip(X0)))),
2.95/0.97	  inference(definition_folding,[],[f1,f24])).
2.95/0.97	fof(f1,axiom,(
2.95/0.97	  ! [X0,X1] : (iext(uri_owl_inverseOf,X0,X1) <=> (! [X2,X3] : (iext(X1,X3,X2) <=> iext(X0,X2,X3)) & ip(X1) & ip(X0)))),
2.95/0.97	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
2.95/0.97	fof(f78,plain,(
2.95/0.97	  iext(uri_owl_inverseOf,sK9,uri_rdf_type)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f956,plain,(
2.95/0.97	  iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)),
2.95/0.97	  inference(superposition,[],[f239,f952])).
2.95/0.97	fof(f952,plain,(
2.95/0.97	  uri_ex_JoesGang = sK15(uri_ex_Clique,uri_ex_JoesGang,uri_ex_sameCliqueAs)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f615,f107])).
2.95/0.97	fof(f107,plain,(
2.95/0.97	  ( ! [X0,X1] : (~iext(uri_owl_sameAs,X0,X1) | X0 = X1) )),
2.95/0.97	  inference(cnf_transformation,[],[f50])).
2.95/0.97	fof(f50,plain,(
2.95/0.97	  ! [X0,X1] : ((iext(uri_owl_sameAs,X0,X1) | X0 != X1) & (X0 = X1 | ~iext(uri_owl_sameAs,X0,X1)))),
2.95/0.97	  inference(nnf_transformation,[],[f14])).
2.95/0.97	fof(f14,plain,(
2.95/0.97	  ! [X0,X1] : (iext(uri_owl_sameAs,X0,X1) <=> X0 = X1)),
2.95/0.97	  inference(rectify,[],[f3])).
2.95/0.97	fof(f3,axiom,(
2.95/0.97	  ! [X2,X3] : (iext(uri_owl_sameAs,X2,X3) <=> X2 = X3)),
2.95/0.97	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
2.95/0.97	fof(f615,plain,(
2.95/0.97	  iext(uri_owl_sameAs,uri_ex_JoesGang,sK15(uri_ex_Clique,uri_ex_JoesGang,uri_ex_sameCliqueAs))),
2.95/0.97	  inference(unit_resulting_resolution,[],[f141,f239,f112])).
2.95/0.97	fof(f112,plain,(
2.95/0.97	  ( ! [X0,X1,X4,X5] : (~iext(X0,X4,X5) | iext(X1,X4,X5) | ~sP3(X0,X1)) )),
2.95/0.97	  inference(cnf_transformation,[],[f56])).
2.95/0.97	fof(f56,plain,(
2.95/0.97	  ! [X0,X1] : ((sP3(X0,X1) | ~ip(X0) | (~iext(X1,sK16(X0,X1),sK17(X0,X1)) & iext(X0,sK16(X0,X1),sK17(X0,X1))) | ~ip(X1)) & ((ip(X0) & ! [X4,X5] : (iext(X1,X4,X5) | ~iext(X0,X4,X5)) & ip(X1)) | ~sP3(X0,X1)))),
2.95/0.97	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f54,f55])).
2.95/0.97	fof(f55,plain,(
2.95/0.97	  ! [X0,X1] : (? [X2,X3] : (~iext(X1,X2,X3) & iext(X0,X2,X3)) => (~iext(X1,sK16(X0,X1),sK17(X0,X1)) & iext(X0,sK16(X0,X1),sK17(X0,X1))))),
2.95/0.97	  introduced(definition,[],[choice_axiom])).
2.95/0.97	fof(f54,plain,(
2.95/0.97	  ! [X0,X1] : ((sP3(X0,X1) | ~ip(X0) | ? [X2,X3] : (~iext(X1,X2,X3) & iext(X0,X2,X3)) | ~ip(X1)) & ((ip(X0) & ! [X4,X5] : (iext(X1,X4,X5) | ~iext(X0,X4,X5)) & ip(X1)) | ~sP3(X0,X1)))),
2.95/0.97	  inference(rectify,[],[f53])).
2.95/0.97	fof(f53,plain,(
2.95/0.97	  ! [X0,X1] : ((sP3(X0,X1) | ~ip(X0) | ? [X2,X3] : (~iext(X1,X2,X3) & iext(X0,X2,X3)) | ~ip(X1)) & ((ip(X0) & ! [X2,X3] : (iext(X1,X2,X3) | ~iext(X0,X2,X3)) & ip(X1)) | ~sP3(X0,X1)))),
2.95/0.97	  inference(flattening,[],[f52])).
2.95/0.97	fof(f52,plain,(
2.95/0.97	  ! [X0,X1] : ((sP3(X0,X1) | (~ip(X0) | ? [X2,X3] : (~iext(X1,X2,X3) & iext(X0,X2,X3)) | ~ip(X1))) & ((ip(X0) & ! [X2,X3] : (iext(X1,X2,X3) | ~iext(X0,X2,X3)) & ip(X1)) | ~sP3(X0,X1)))),
2.95/0.97	  inference(nnf_transformation,[],[f29])).
2.95/0.97	fof(f29,plain,(
2.95/0.97	  ! [X0,X1] : (sP3(X0,X1) <=> (ip(X0) & ! [X2,X3] : (iext(X1,X2,X3) | ~iext(X0,X2,X3)) & ip(X1)))),
2.95/0.97	  introduced(definition,[new_symbols(naming,[sP3])],[predicate_definition_introduction])).
2.95/0.97	fof(f141,plain,(
2.95/0.97	  sP3(uri_ex_sameCliqueAs,uri_owl_sameAs)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f74,f116])).
2.95/0.97	fof(f116,plain,(
2.95/0.97	  ( ! [X0,X1] : (~iext(uri_rdfs_subPropertyOf,X0,X1) | sP3(X0,X1)) )),
2.95/0.97	  inference(cnf_transformation,[],[f57])).
2.95/0.97	fof(f57,plain,(
2.95/0.97	  ! [X0,X1] : ((iext(uri_rdfs_subPropertyOf,X0,X1) | ~sP3(X0,X1)) & (sP3(X0,X1) | ~iext(uri_rdfs_subPropertyOf,X0,X1)))),
2.95/0.97	  inference(nnf_transformation,[],[f30])).
2.95/0.97	fof(f30,plain,(
2.95/0.97	  ! [X0,X1] : (iext(uri_rdfs_subPropertyOf,X0,X1) <=> sP3(X0,X1))),
2.95/0.97	  inference(definition_folding,[],[f20,f29])).
2.95/0.97	fof(f20,plain,(
2.95/0.97	  ! [X0,X1] : (iext(uri_rdfs_subPropertyOf,X0,X1) <=> (ip(X0) & ! [X2,X3] : (iext(X1,X2,X3) | ~iext(X0,X2,X3)) & ip(X1)))),
2.95/0.97	  inference(ennf_transformation,[],[f9])).
2.95/0.97	fof(f9,axiom,(
2.95/0.97	  ! [X0,X1] : (iext(uri_rdfs_subPropertyOf,X0,X1) <=> (ip(X0) & ! [X2,X3] : (iext(X0,X2,X3) => iext(X1,X2,X3)) & ip(X1)))),
2.95/0.97	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
2.95/0.97	fof(f74,plain,(
2.95/0.97	  iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f239,plain,(
2.95/0.97	  iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,sK15(uri_ex_Clique,uri_ex_JoesGang,uri_ex_sameCliqueAs))),
2.95/0.97	  inference(unit_resulting_resolution,[],[f189,f103])).
2.95/0.97	fof(f103,plain,(
2.95/0.97	  ( ! [X2,X0,X1] : (iext(X2,X1,sK15(X0,X1,X2)) | ~sP1(X0,X1,X2)) )),
2.95/0.97	  inference(cnf_transformation,[],[f49])).
2.95/0.97	fof(f49,plain,(
2.95/0.97	  ! [X0,X1,X2] : ((sP1(X0,X1,X2) | ! [X3] : (~icext(X0,X3) | ~iext(X2,X1,X3))) & ((icext(X0,sK15(X0,X1,X2)) & iext(X2,X1,sK15(X0,X1,X2))) | ~sP1(X0,X1,X2)))),
2.95/0.97	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f47,f48])).
2.95/0.97	fof(f48,plain,(
2.95/0.97	  ! [X0,X1,X2] : (? [X4] : (icext(X0,X4) & iext(X2,X1,X4)) => (icext(X0,sK15(X0,X1,X2)) & iext(X2,X1,sK15(X0,X1,X2))))),
2.95/0.97	  introduced(definition,[],[choice_axiom])).
2.95/0.97	fof(f47,plain,(
2.95/0.97	  ! [X0,X1,X2] : ((sP1(X0,X1,X2) | ! [X3] : (~icext(X0,X3) | ~iext(X2,X1,X3))) & (? [X4] : (icext(X0,X4) & iext(X2,X1,X4)) | ~sP1(X0,X1,X2)))),
2.95/0.97	  inference(rectify,[],[f46])).
2.95/0.97	fof(f46,plain,(
2.95/0.97	  ! [X2,X3,X1] : ((sP1(X2,X3,X1) | ! [X4] : (~icext(X2,X4) | ~iext(X1,X3,X4))) & (? [X4] : (icext(X2,X4) & iext(X1,X3,X4)) | ~sP1(X2,X3,X1)))),
2.95/0.97	  inference(nnf_transformation,[],[f26])).
2.95/0.97	fof(f26,plain,(
2.95/0.97	  ! [X2,X3,X1] : (sP1(X2,X3,X1) <=> ? [X4] : (icext(X2,X4) & iext(X1,X3,X4)))),
2.95/0.97	  introduced(definition,[new_symbols(naming,[sP1])],[predicate_definition_introduction])).
2.95/0.97	fof(f189,plain,(
2.95/0.97	  sP1(uri_ex_Clique,uri_ex_JoesGang,uri_ex_sameCliqueAs)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f183,f174,f102])).
2.95/0.97	fof(f102,plain,(
2.95/0.97	  ( ! [X2,X3,X0,X1] : (~sP2(X0,X1,X2) | ~icext(X0,X3) | sP1(X2,X3,X1)) )),
2.95/0.97	  inference(cnf_transformation,[],[f45])).
2.95/0.97	fof(f45,plain,(
2.95/0.97	  ! [X0,X1,X2] : (! [X3] : ((sP1(X2,X3,X1) | ~icext(X0,X3)) & (icext(X0,X3) | ~sP1(X2,X3,X1))) | ~sP2(X0,X1,X2))),
2.95/0.97	  inference(nnf_transformation,[],[f27])).
2.95/0.97	fof(f27,plain,(
2.95/0.97	  ! [X0,X1,X2] : (! [X3] : (sP1(X2,X3,X1) <=> icext(X0,X3)) | ~sP2(X0,X1,X2))),
2.95/0.97	  introduced(definition,[new_symbols(naming,[sP2])],[predicate_definition_introduction])).
2.95/0.97	fof(f174,plain,(
2.95/0.97	  sP2(sK8,uri_ex_sameCliqueAs,uri_ex_Clique)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f88,f89,f106])).
2.95/0.97	fof(f106,plain,(
2.95/0.97	  ( ! [X2,X0,X1] : (~iext(uri_owl_onProperty,X0,X1) | sP2(X0,X1,X2) | ~iext(uri_owl_someValuesFrom,X0,X2)) )),
2.95/0.97	  inference(cnf_transformation,[],[f28])).
2.95/0.97	fof(f28,plain,(
2.95/0.97	  ! [X0,X1,X2] : (sP2(X0,X1,X2) | ~iext(uri_owl_onProperty,X0,X1) | ~iext(uri_owl_someValuesFrom,X0,X2))),
2.95/0.97	  inference(definition_folding,[],[f19,f27,f26])).
2.95/0.97	fof(f19,plain,(
2.95/0.97	  ! [X0,X1,X2] : (! [X3] : (? [X4] : (icext(X2,X4) & iext(X1,X3,X4)) <=> icext(X0,X3)) | ~iext(uri_owl_onProperty,X0,X1) | ~iext(uri_owl_someValuesFrom,X0,X2))),
2.95/0.97	  inference(flattening,[],[f18])).
2.95/0.97	fof(f18,plain,(
2.95/0.97	  ! [X0,X1,X2] : (! [X3] : (? [X4] : (icext(X2,X4) & iext(X1,X3,X4)) <=> icext(X0,X3)) | (~iext(uri_owl_onProperty,X0,X1) | ~iext(uri_owl_someValuesFrom,X0,X2)))),
2.95/0.97	  inference(ennf_transformation,[],[f13])).
2.95/0.97	fof(f13,plain,(
2.95/0.97	  ! [X0,X1,X2] : ((iext(uri_owl_onProperty,X0,X1) & iext(uri_owl_someValuesFrom,X0,X2)) => ! [X3] : (? [X4] : (icext(X2,X4) & iext(X1,X3,X4)) <=> icext(X0,X3)))),
2.95/0.97	  inference(rectify,[],[f2])).
2.95/0.97	fof(f2,axiom,(
2.95/0.97	  ! [X4,X5,X6] : ((iext(uri_owl_onProperty,X4,X5) & iext(uri_owl_someValuesFrom,X4,X6)) => ! [X2] : (? [X3] : (icext(X6,X3) & iext(X5,X2,X3)) <=> icext(X4,X2)))),
2.95/0.97	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
2.95/0.97	fof(f89,plain,(
2.95/0.97	  iext(uri_owl_onProperty,sK8,uri_ex_sameCliqueAs)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f88,plain,(
2.95/0.97	  iext(uri_owl_someValuesFrom,sK8,uri_ex_Clique)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f183,plain,(
2.95/0.97	  icext(sK8,uri_ex_JoesGang)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f161,f179,f133])).
2.95/0.97	fof(f133,plain,(
2.95/0.97	  ( ! [X3,X0,X1] : (~sP7(X0,X1) | ~icext(X0,X3) | icext(X1,X3)) )),
2.95/0.97	  inference(cnf_transformation,[],[f71])).
2.95/0.97	fof(f71,plain,(
2.95/0.97	  ! [X0,X1] : ((sP7(X0,X1) | ~ic(X0) | (~icext(X1,sK22(X0,X1)) & icext(X0,sK22(X0,X1))) | ~ic(X1)) & ((ic(X0) & ! [X3] : (icext(X1,X3) | ~icext(X0,X3)) & ic(X1)) | ~sP7(X0,X1)))),
2.95/0.97	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f69,f70])).
2.95/0.97	fof(f70,plain,(
2.95/0.97	  ! [X0,X1] : (? [X2] : (~icext(X1,X2) & icext(X0,X2)) => (~icext(X1,sK22(X0,X1)) & icext(X0,sK22(X0,X1))))),
2.95/0.97	  introduced(definition,[],[choice_axiom])).
2.95/0.97	fof(f69,plain,(
2.95/0.97	  ! [X0,X1] : ((sP7(X0,X1) | ~ic(X0) | ? [X2] : (~icext(X1,X2) & icext(X0,X2)) | ~ic(X1)) & ((ic(X0) & ! [X3] : (icext(X1,X3) | ~icext(X0,X3)) & ic(X1)) | ~sP7(X0,X1)))),
2.95/0.97	  inference(rectify,[],[f68])).
2.95/0.97	fof(f68,plain,(
2.95/0.97	  ! [X0,X1] : ((sP7(X0,X1) | ~ic(X0) | ? [X2] : (~icext(X1,X2) & icext(X0,X2)) | ~ic(X1)) & ((ic(X0) & ! [X2] : (icext(X1,X2) | ~icext(X0,X2)) & ic(X1)) | ~sP7(X0,X1)))),
2.95/0.97	  inference(flattening,[],[f67])).
2.95/0.97	fof(f67,plain,(
2.95/0.97	  ! [X0,X1] : ((sP7(X0,X1) | (~ic(X0) | ? [X2] : (~icext(X1,X2) & icext(X0,X2)) | ~ic(X1))) & ((ic(X0) & ! [X2] : (icext(X1,X2) | ~icext(X0,X2)) & ic(X1)) | ~sP7(X0,X1)))),
2.95/0.97	  inference(nnf_transformation,[],[f35])).
2.95/0.97	fof(f35,plain,(
2.95/0.97	  ! [X0,X1] : (sP7(X0,X1) <=> (ic(X0) & ! [X2] : (icext(X1,X2) | ~icext(X0,X2)) & ic(X1)))),
2.95/0.97	  introduced(definition,[new_symbols(naming,[sP7])],[predicate_definition_introduction])).
2.95/0.97	fof(f179,plain,(
2.95/0.97	  sP7(uri_ex_Clique,sK8)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f91,f137])).
2.95/0.97	fof(f137,plain,(
2.95/0.97	  ( ! [X0,X1] : (~iext(uri_rdfs_subClassOf,X0,X1) | sP7(X0,X1)) )),
2.95/0.97	  inference(cnf_transformation,[],[f72])).
2.95/0.97	fof(f72,plain,(
2.95/0.97	  ! [X0,X1] : ((iext(uri_rdfs_subClassOf,X0,X1) | ~sP7(X0,X1)) & (sP7(X0,X1) | ~iext(uri_rdfs_subClassOf,X0,X1)))),
2.95/0.97	  inference(nnf_transformation,[],[f36])).
2.95/0.97	fof(f36,plain,(
2.95/0.97	  ! [X0,X1] : (iext(uri_rdfs_subClassOf,X0,X1) <=> sP7(X0,X1))),
2.95/0.97	  inference(definition_folding,[],[f23,f35])).
2.95/0.97	fof(f23,plain,(
2.95/0.97	  ! [X0,X1] : (iext(uri_rdfs_subClassOf,X0,X1) <=> (ic(X0) & ! [X2] : (icext(X1,X2) | ~icext(X0,X2)) & ic(X1)))),
2.95/0.97	  inference(ennf_transformation,[],[f17])).
2.95/0.97	fof(f17,plain,(
2.95/0.97	  ! [X0,X1] : (iext(uri_rdfs_subClassOf,X0,X1) <=> (ic(X0) & ! [X2] : (icext(X0,X2) => icext(X1,X2)) & ic(X1)))),
2.95/0.97	  inference(rectify,[],[f10])).
2.95/0.97	fof(f10,axiom,(
2.95/0.97	  ! [X20,X21] : (iext(uri_rdfs_subClassOf,X20,X21) <=> (ic(X20) & ! [X2] : (icext(X20,X2) => icext(X21,X2)) & ic(X21)))),
2.95/0.97	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
2.95/0.97	fof(f91,plain,(
2.95/0.97	  iext(uri_rdfs_subClassOf,uri_ex_Clique,sK8)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	fof(f161,plain,(
2.95/0.97	  icext(uri_ex_Clique,uri_ex_JoesGang)),
2.95/0.97	  inference(unit_resulting_resolution,[],[f81,f110])).
2.95/0.97	fof(f110,plain,(
2.95/0.97	  ( ! [X0,X1] : (~iext(uri_rdf_type,X0,X1) | icext(X1,X0)) )),
2.95/0.97	  inference(cnf_transformation,[],[f51])).
2.95/0.97	fof(f51,plain,(
2.95/0.97	  ! [X0,X1] : ((icext(X1,X0) | ~iext(uri_rdf_type,X0,X1)) & (iext(uri_rdf_type,X0,X1) | ~icext(X1,X0)))),
2.95/0.97	  inference(nnf_transformation,[],[f15])).
2.95/0.97	fof(f15,plain,(
2.95/0.97	  ! [X0,X1] : (icext(X1,X0) <=> iext(uri_rdf_type,X0,X1))),
2.95/0.97	  inference(rectify,[],[f4])).
2.95/0.97	fof(f4,axiom,(
2.95/0.97	  ! [X2,X6] : (icext(X6,X2) <=> iext(uri_rdf_type,X2,X6))),
2.95/0.97	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
2.95/0.97	fof(f81,plain,(
2.95/0.97	  iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)),
2.95/0.97	  inference(cnf_transformation,[],[f38])).
2.95/0.97	% SZS output end Proof for theBenchmark
2.95/0.97	% (2698665)------------------------------
2.95/0.97	% (2698665)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
2.95/0.97	% (2698665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
2.95/0.97	% (2698665)Termination reason: Refutation
2.95/0.97	
2.95/0.97	% (2698665)Time elapsed: 0.063 s
2.95/0.97	% (2698665)Peak memory usage: 13 MB
2.95/0.97	% (2698665)Instructions burned: 123 (million)
2.95/0.97	% (2698665)------------------------------
2.95/0.97	% (2698665)------------------------------
2.95/0.97	% (2698632)Success in time 0.588 s
2.95/0.97	EOF