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
0.07/0.36	% Computer   : n003.cluster.edu
0.07/0.36	% Model      : x86_64 x86_64
0.07/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.07/0.36	% Memory     : 8046.5625MB
0.07/0.36	% OS         : Linux 6.8.0-71-generic
0.07/0.36	% CPULimit   : 1440
0.07/0.36	% WCLimit    : 180
0.07/0.36	% DateTime   : Mon Jul 27 09:18:08 UTC 2026
0.07/0.36	% CPUTime    : 
0.12/0.40	This is a FOF_ problem
0.12/0.40	Running first-order theorem proving
0.12/0.40	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p
0.12/0.47	% (3749170)Running in auto input_syntax mode. Trying TPTP
0.12/0.47	% (3749173)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=2449074905:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi)
0.12/0.48	% (3749173)First to succeed.
0.12/0.48	% (3749173)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3749170"
0.12/0.48	% (3749170)Running in auto input_syntax mode. Trying TPTP
0.12/0.48	% (3749173)Refutation found. Thanks to Tanya!
0.12/0.48	% SZS status Theorem for theBenchmark
0.12/0.48	% SZS output start Proof for theBenchmark
0.12/0.48	fof(f1158,plain,(
0.12/0.48	  $false),
0.12/0.48	  inference(subsumption_resolution,[],[f1143,f172])).
0.12/0.48	fof(f172,plain,(
0.12/0.48	  ( ! [X1] : (~greater(X1,X1)) )),
0.12/0.48	  inference(equality_resolution,[],[f130])).
0.12/0.48	fof(f130,plain,(
0.12/0.48	  ( ! [X0,X1] : (X0 != X1 | ~greater(X0,X1)) )),
0.12/0.48	  inference(cnf_transformation,[],[f55])).
0.12/0.48	fof(f55,plain,(
0.12/0.48	  ! [X0,X1] : (X0 != X1 | ~greater(X0,X1))),
0.12/0.48	  inference(rectify,[],[f20])).
0.12/0.48	fof(f20,axiom,(
0.12/0.48	  ! [X30,X31] : (X30 != X31 | ~greater(X30,X31))),
0.12/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.12/0.48	fof(f1143,plain,(
0.12/0.48	  greater(vplus(vd329,vd330),vplus(vd329,vd330))),
0.12/0.48	  inference(superposition,[],[f221,f1139])).
0.12/0.48	fof(f1139,plain,(
0.12/0.48	  vd329 = vd328),
0.12/0.48	  inference(subsumption_resolution,[],[f1136,f129])).
0.12/0.48	fof(f129,plain,(
0.12/0.48	  ~less(vd328,vd329)),
0.12/0.48	  inference(cnf_transformation,[],[f54])).
0.12/0.48	fof(f54,plain,(
0.12/0.48	  ~less(vd328,vd329)),
0.12/0.48	  inference(flattening,[],[f19])).
0.12/0.48	fof(f19,negated_conjecture,(
0.12/0.48	  ~less(vd328,vd329)),
0.12/0.48	  inference(negated_conjecture,[status(cth)],[f18])).
0.12/0.48	fof(f18,conjecture,(
0.12/0.48	  less(vd328,vd329)),
0.12/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.12/0.48	fof(f1136,plain,(
0.12/0.48	  less(vd328,vd329) | vd329 = vd328),
0.12/0.48	  inference(resolution,[],[f1117,f141])).
0.12/0.48	fof(f141,plain,(
0.12/0.48	  ( ! [X0,X1] : (greater(X0,X1) | less(X0,X1) | X0 = X1) )),
0.12/0.48	  inference(cnf_transformation,[],[f64])).
0.12/0.48	fof(f64,plain,(
0.12/0.48	  ! [X0,X1] : (greater(X0,X1) | less(X0,X1) | X0 = X1)),
0.12/0.48	  inference(rectify,[],[f29])).
0.12/0.48	fof(f29,axiom,(
0.12/0.48	  ! [X30,X31] : (greater(X30,X31) | less(X30,X31) | X30 = X31)),
0.12/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.12/0.48	fof(f1117,plain,(
0.12/0.48	  ~greater(vd328,vd329)),
0.12/0.48	  inference(resolution,[],[f1099,f123])).
0.12/0.48	fof(f123,plain,(
0.12/0.48	  ( ! [X2,X0,X1] : (greater(vplus(X0,X2),vplus(X1,X2)) | ~greater(X0,X1)) )),
0.12/0.48	  inference(cnf_transformation,[],[f83])).
0.12/0.48	fof(f83,plain,(
0.12/0.48	  ! [X0,X1,X2] : (greater(vplus(X0,X2),vplus(X1,X2)) | ~greater(X0,X1))),
0.12/0.48	  inference(ennf_transformation,[],[f12])).
0.12/0.48	fof(f12,axiom,(
0.12/0.48	  ! [X0,X1,X2] : (greater(X0,X1) => greater(vplus(X0,X2),vplus(X1,X2)))),
0.12/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.12/0.48	fof(f1099,plain,(
0.12/0.48	  ~greater(vplus(vd328,vd330),vplus(vd329,vd330))),
0.12/0.48	  inference(resolution,[],[f1074,f221])).
0.12/0.48	fof(f1074,plain,(
0.12/0.48	  ( ! [X0,X1] : (~greater(X1,X0) | ~greater(X0,X1)) )),
0.12/0.48	  inference(superposition,[],[f1065,f146])).
0.12/0.48	fof(f146,plain,(
0.12/0.48	  ( ! [X0,X1] : (vplus(X0,sK3(X0,X1)) = X1 | ~greater(X1,X0)) )),
0.12/0.48	  inference(cnf_transformation,[],[f107])).
0.12/0.48	fof(f107,plain,(
0.12/0.48	  ! [X0,X1] : ((greater(X1,X0) | ! [X2] : vplus(X0,X2) != X1) & (vplus(X0,sK3(X0,X1)) = X1 | ~greater(X1,X0)))),
0.12/0.48	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f105,f106])).
0.12/0.48	fof(f106,plain,(
0.12/0.48	  ! [X0,X1] : (? [X3] : vplus(X0,X3) = X1 => vplus(X0,sK3(X0,X1)) = X1)),
0.12/0.48	  introduced(definition,[],[choice_axiom])).
0.12/0.48	fof(f105,plain,(
0.12/0.48	  ! [X0,X1] : ((greater(X1,X0) | ! [X2] : vplus(X0,X2) != X1) & (? [X3] : vplus(X0,X3) = X1 | ~greater(X1,X0)))),
0.12/0.48	  inference(rectify,[],[f104])).
0.12/0.48	fof(f104,plain,(
0.12/0.48	  ! [X0,X1] : ((greater(X1,X0) | ! [X2] : vplus(X0,X2) != X1) & (? [X2] : vplus(X0,X2) = X1 | ~greater(X1,X0)))),
0.12/0.48	  inference(nnf_transformation,[],[f68])).
0.12/0.48	fof(f68,plain,(
0.12/0.48	  ! [X0,X1] : (greater(X1,X0) <=> ? [X2] : vplus(X0,X2) = X1)),
0.12/0.48	  inference(rectify,[],[f34])).
0.12/0.48	fof(f34,axiom,(
0.12/0.48	  ! [X48,X49] : (greater(X49,X48) <=> ? [X50] : vplus(X48,X50) = X49)),
0.12/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.12/0.48	fof(f1065,plain,(
0.12/0.48	  ( ! [X0,X1] : (~greater(X0,vplus(X0,X1))) )),
0.12/0.48	  inference(equality_resolution,[],[f945])).
0.12/0.48	fof(f945,plain,(
0.12/0.48	  ( ! [X2,X0,X1] : (vplus(X0,X2) != X1 | ~greater(X0,X1)) )),
0.12/0.48	  inference(superposition,[],[f170,f146])).
0.12/0.48	fof(f170,plain,(
0.12/0.48	  ( ! [X2,X3,X1] : (vplus(vplus(X1,X2),X3) != X1) )),
0.12/0.48	  inference(equality_resolution,[],[f116])).
0.12/0.48	fof(f116,plain,(
0.12/0.48	  ( ! [X2,X3,X0,X1] : (vplus(X1,X2) != X0 | vplus(X0,X3) != X1) )),
0.12/0.48	  inference(cnf_transformation,[],[f80])).
0.12/0.48	fof(f80,plain,(
0.12/0.48	  ! [X0,X1] : (! [X2] : vplus(X1,X2) != X0 | ! [X3] : vplus(X0,X3) != X1)),
0.12/0.48	  inference(ennf_transformation,[],[f46])).
0.12/0.48	fof(f46,plain,(
0.12/0.48	  ! [X0,X1] : (~? [X2] : vplus(X1,X2) = X0 | ~? [X3] : vplus(X0,X3) = X1)),
0.12/0.48	  inference(rectify,[],[f7])).
0.12/0.48	fof(f7,axiom,(
0.12/0.48	  ! [X3,X4] : (~? [X5] : vplus(X4,X5) = X3 | ~? [X15] : vplus(X3,X15) = X4)),
0.12/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.12/0.48	fof(f221,plain,(
0.12/0.48	  greater(vplus(vd329,vd330),vplus(vd328,vd330))),
0.12/0.48	  inference(resolution,[],[f127,f133])).
0.12/0.48	fof(f133,plain,(
0.12/0.48	  ( ! [X0,X1] : (~less(X0,X1) | greater(X1,X0)) )),
0.12/0.48	  inference(cnf_transformation,[],[f86])).
0.12/0.48	fof(f86,plain,(
0.12/0.48	  ! [X0,X1] : (greater(X1,X0) | ~less(X0,X1))),
0.12/0.48	  inference(ennf_transformation,[],[f58])).
0.12/0.48	fof(f58,plain,(
0.12/0.48	  ! [X0,X1] : (less(X0,X1) => greater(X1,X0))),
0.12/0.48	  inference(rectify,[],[f23])).
0.12/0.48	fof(f23,axiom,(
0.12/0.48	  ! [X34,X35] : (less(X34,X35) => greater(X35,X34))),
0.12/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.12/0.48	fof(f127,plain,(
0.12/0.48	  less(vplus(vd328,vd330),vplus(vd329,vd330))),
0.12/0.48	  inference(cnf_transformation,[],[f16])).
0.12/0.48	fof(f16,axiom,(
0.12/0.48	  less(vplus(vd328,vd330),vplus(vd329,vd330))),
0.12/0.48	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.12/0.48	% SZS output end Proof for theBenchmark
0.12/0.48	% (3749173)------------------------------
0.12/0.48	% (3749173)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.12/0.48	% (3749173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.12/0.48	% (3749173)Termination reason: Refutation
0.12/0.48	
0.12/0.48	% (3749173)Time elapsed: 0.014 s
0.12/0.48	% (3749173)Peak memory usage: 12 MB
0.12/0.48	% (3749173)Instructions burned: 39 (million)
0.12/0.48	% (3749173)------------------------------
0.12/0.48	% (3749173)------------------------------
0.12/0.48	% (3749170)Success in time 0.078 s
0.12/0.49	EOF