TSTP Solution File: SYO506^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO506^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:11:59 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO506^1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 09:05:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (18331)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (18333)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (18334)WARNING: value z3 for option sas not known
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (18334)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (18332)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (18335)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (18336)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 % (18338)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 % Exception at run slice level% (18337)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (18338)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (18334)First to succeed.
% 0.14/0.39 % (18338)Also succeeded, but the first one will report.
% 0.14/0.39 % (18336)Also succeeded, but the first one will report.
% 0.14/0.39 % (18337)Also succeeded, but the first one will report.
% 0.14/0.39 % (18334)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18331"
% 0.14/0.39 % (18334)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% 0.14/0.39 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.14/0.39 thf(func_def_0, type, c: $o > $i > $i > $i).
% 0.14/0.39 thf(func_def_4, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.39 thf(func_def_8, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.14/0.39 thf(func_def_9, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.14/0.39 thf(func_def_10, type, vAND: $o > $o > $o).
% 0.14/0.39 thf(func_def_11, type, vOR: $o > $o > $o).
% 0.14/0.39 thf(func_def_12, type, vIMP: $o > $o > $o).
% 0.14/0.39 thf(func_def_13, type, vNOT: $o > $o).
% 0.14/0.39 thf(f59,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(global_subsumption,[],[f3,f4,f11,f12,f41,f10,f58,f55,f53])).
% 0.14/0.39 thf(f53,plain,(
% 0.14/0.39 (sK0 = sK1)),
% 0.14/0.39 inference(equality_proxy_clausification,[],[f52])).
% 0.14/0.39 thf(f52,plain,(
% 0.14/0.39 ($false != vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),sK0),sK1))),
% 0.14/0.39 inference(trivial_inequality_removal,[],[f48])).
% 0.14/0.39 thf(f48,plain,(
% 0.14/0.39 (sK1 != sK1) | ($false != vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),sK0),sK1))),
% 0.14/0.39 inference(constrained_superposition,[],[f10,f12])).
% 0.14/0.39 thf(f55,plain,(
% 0.14/0.39 (sK0 != sK1)),
% 0.14/0.39 inference(duplicate_literal_removal,[],[f54])).
% 0.14/0.39 thf(f54,plain,(
% 0.14/0.39 (sK0 != sK1) | (sK0 != sK1)),
% 0.14/0.39 inference(equality_proxy_clausification,[],[f47])).
% 0.14/0.39 thf(f47,plain,(
% 0.14/0.39 (sK0 != sK1) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),sK0),sK1))),
% 0.14/0.39 inference(constrained_superposition,[],[f10,f11])).
% 0.14/0.39 thf(f58,plain,(
% 0.14/0.39 (sK0 != sK1)),
% 0.14/0.39 inference(duplicate_literal_removal,[],[f57])).
% 0.14/0.39 thf(f57,plain,(
% 0.14/0.39 (sK0 != sK1) | (sK0 != sK1)),
% 0.14/0.39 inference(forward_demodulation,[],[f56,f11])).
% 0.14/0.39 thf(f56,plain,(
% 0.14/0.39 (sK1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$true),sK0),sK1)) | (sK0 != sK1)),
% 0.14/0.39 inference(equality_proxy_clausification,[],[f46])).
% 0.14/0.39 thf(f46,plain,(
% 0.14/0.39 (sK1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$true),sK0),sK1)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),sK0),sK1))),
% 0.14/0.39 inference(superposition,[],[f10,f4])).
% 0.14/0.39 thf(f10,plain,(
% 0.14/0.39 (sK1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),sK0),sK1)),sK0),sK1))),
% 0.14/0.39 inference(cnf_transformation,[],[f9])).
% 0.14/0.39 thf(f9,plain,(
% 0.14/0.39 ! [X0,X1] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$false),X0),X1) = X1) & ! [X2,X3] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$true),X2),X3) = X2) & (sK1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),sK0),sK1)),sK0),sK1))),
% 0.14/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8])).
% 0.14/0.39 thf(f8,plain,(
% 0.14/0.39 ? [X4,X5] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),X4),X5)),X4),X5) != X5) => (sK1 != vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),sK0),sK1)),sK0),sK1))),
% 0.14/0.39 introduced(choice_axiom,[])).
% 0.14/0.39 thf(f7,plain,(
% 0.14/0.39 ! [X0,X1] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$false),X0),X1) = X1) & ! [X2,X3] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$true),X2),X3) = X2) & ? [X4,X5] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),X4),X5)),X4),X5) != X5)),
% 0.14/0.39 inference(ennf_transformation,[],[f6])).
% 0.14/0.39 thf(f6,plain,(
% 0.14/0.39 ~(~! [X0,X1] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$false),X0),X1) = X1) | ~! [X2,X3] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$true),X2),X3) = X2) | ! [X4,X5] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,vAPP($i,$o,vAPP($i,sTfun($i,$o),vEQ($i),X4),X5)),X4),X5) = X5))),
% 0.14/0.39 inference(fool_elimination,[],[f5])).
% 0.14/0.39 thf(f5,plain,(
% 0.14/0.39 ~(~! [X0,X1] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$false),X0),X1) = X1) | ~! [X2,X3] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$true),X2),X3) = X2) | ! [X4,X5] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,(X4 = X5)),X4),X5) = X5))),
% 0.14/0.39 inference(rectify,[],[f2])).
% 0.14/0.39 thf(f2,negated_conjecture,(
% 0.14/0.39 ~(~! [X0,X1] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$false),X0),X1) = X1) | ~! [X0,X1] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$true),X0),X1) = X0) | ! [X0,X1] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,(X0 = X1)),X0),X1) = X1))),
% 0.14/0.39 inference(negated_conjecture,[],[f1])).
% 0.14/0.39 thf(f1,conjecture,(
% 0.14/0.39 ~! [X0,X1] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$false),X0),X1) = X1) | ~! [X0,X1] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$true),X0),X1) = X0) | ! [X0,X1] : (vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,(X0 = X1)),X0),X1) = X1)),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',claim)).
% 0.14/0.39 thf(f41,plain,(
% 0.14/0.39 ( ! [X2 : $i,X0 : $o,X1 : $i] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,X0),X1),X2) = X1) | ($false = X0)) )),
% 0.14/0.39 inference(superposition,[],[f11,f4])).
% 0.14/0.39 thf(f12,plain,(
% 0.14/0.39 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$false),X0),X1) = X1)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f9])).
% 0.14/0.39 thf(f11,plain,(
% 0.14/0.39 ( ! [X2 : $i,X3 : $i] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),vAPP($o,sTfun($i,sTfun($i,$i)),c,$true),X2),X3) = X2)) )),
% 0.14/0.39 inference(cnf_transformation,[],[f9])).
% 0.14/0.39 thf(f4,plain,(
% 0.14/0.39 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.14/0.39 introduced(fool_axiom,[])).
% 0.14/0.39 thf(f3,plain,(
% 0.14/0.39 ($true != $false)),
% 0.14/0.39 introduced(fool_axiom,[])).
% 0.14/0.39 % SZS output end Proof for theBenchmark
% 0.14/0.39 % (18334)------------------------------
% 0.14/0.39 % (18334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (18334)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (18334)Memory used [KB]: 773
% 0.14/0.39 % (18334)Time elapsed: 0.007 s
% 0.14/0.39 % (18334)Instructions burned: 6 (million)
% 0.14/0.39 % (18331)Success in time 0.031 s
%------------------------------------------------------------------------------