TSTP Solution File: SYN214-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN214-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 Apr 30 18:02:31 EDT 2024
% Result : Unsatisfiable 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 52 ( 52 unt; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-4 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4852,plain,
$false,
inference(trivial_inequality_removal,[],[f4851]) ).
fof(f4851,plain,
true != true,
inference(superposition,[],[f363,f4846]) ).
fof(f4846,plain,
! [X0] : true = s5(X0),
inference(superposition,[],[f4841,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f4841,plain,
! [X7] : true = ifeq(true,true,s5(X7),true),
inference(backward_demodulation,[],[f1237,f4835]) ).
fof(f4835,plain,
! [X0] : true = r4(X0),
inference(superposition,[],[f4825,f1]) ).
fof(f4825,plain,
! [X0] : true = ifeq(true,true,r4(X0),true),
inference(superposition,[],[f2226,f4814]) ).
fof(f4814,plain,
true = q3(e,e),
inference(superposition,[],[f4813,f1]) ).
fof(f4813,plain,
true = ifeq(true,true,q3(e,e),true),
inference(superposition,[],[f4627,f1872]) ).
fof(f1872,plain,
! [X0] : true = q2(X0,e,e),
inference(superposition,[],[f1867,f1]) ).
fof(f1867,plain,
! [X0] : true = ifeq(true,true,q2(X0,e,e),true),
inference(forward_demodulation,[],[f1862,f1]) ).
fof(f1862,plain,
! [X0] : true = ifeq(true,true,ifeq(true,true,q2(X0,e,e),true),true),
inference(superposition,[],[f1068,f29]) ).
fof(f29,axiom,
true = k0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f1068,plain,
! [X10,X9] : true = ifeq(true,true,ifeq(k0(X10),true,q2(X9,X10,X10),true),true),
inference(backward_demodulation,[],[f213,f1054]) ).
fof(f1054,plain,
! [X0] : true = p1(X0,X0,X0),
inference(superposition,[],[f1009,f1]) ).
fof(f1009,plain,
! [X0] : true = ifeq(true,true,p1(X0,X0,X0),true),
inference(superposition,[],[f122,f15]) ).
fof(f15,axiom,
! [X3] : true = p0(b,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f122,axiom,
! [X2,X1] : true = ifeq(p0(X2,X1),true,p1(X1,X1,X1),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).
fof(f213,axiom,
! [X10,X9] : true = ifeq(p1(X9,X9,X9),true,ifeq(k0(X10),true,q2(X9,X10,X10),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_177) ).
fof(f4627,plain,
! [X0] : true = ifeq(q2(d,e,X0),true,q3(e,X0),true),
inference(forward_demodulation,[],[f4619,f1]) ).
fof(f4619,plain,
! [X0] : true = ifeq(q2(d,e,X0),true,ifeq(true,true,q3(e,X0),true),true),
inference(superposition,[],[f289,f4]) ).
fof(f4,axiom,
true = n0(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f289,axiom,
! [X8,X6,X7] : true = ifeq(q2(X6,X8,X7),true,ifeq(n0(X6,X8),true,q3(X8,X7),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
fof(f2226,plain,
! [X2,X0,X1] : true = ifeq(q3(X1,X2),true,r4(X0),true),
inference(forward_demodulation,[],[f2224,f1]) ).
fof(f2224,plain,
! [X2,X0,X1] : true = ifeq(q3(X1,X2),true,ifeq(true,true,r4(X0),true),true),
inference(superposition,[],[f1323,f15]) ).
fof(f1323,plain,
! [X8,X6,X7,X5] : true = ifeq(q3(X7,X6),true,ifeq(p0(X5,X8),true,r4(X8),true),true),
inference(forward_demodulation,[],[f1317,f1]) ).
fof(f1317,plain,
! [X8,X6,X7,X5] : true = ifeq(q3(X7,X6),true,ifeq(true,true,ifeq(p0(X5,X8),true,r4(X8),true),true),true),
inference(backward_demodulation,[],[f330,f1312]) ).
fof(f1312,plain,
! [X0] : true = n3(X0),
inference(superposition,[],[f1301,f1]) ).
fof(f1301,plain,
! [X0] : true = ifeq(true,true,n3(X0),true),
inference(superposition,[],[f274,f1252]) ).
fof(f1252,plain,
! [X0] : true = p2(X0,X0,X0),
inference(superposition,[],[f1098,f1]) ).
fof(f1098,plain,
! [X7] : true = ifeq(true,true,p2(X7,X7,X7),true),
inference(backward_demodulation,[],[f485,f1086]) ).
fof(f1086,plain,
! [X0] : true = n2(X0),
inference(superposition,[],[f1077,f1]) ).
fof(f1077,plain,
! [X0] : true = ifeq(true,true,n2(X0),true),
inference(superposition,[],[f173,f1054]) ).
fof(f173,axiom,
! [X2,X0,X1] : true = ifeq(p1(X1,X2,X0),true,n2(X0),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
fof(f485,plain,
! [X7] : true = ifeq(n2(X7),true,p2(X7,X7,X7),true),
inference(forward_demodulation,[],[f484,f1]) ).
fof(f484,plain,
! [X7] : true = ifeq(n2(X7),true,ifeq(true,true,p2(X7,X7,X7),true),true),
inference(backward_demodulation,[],[f210,f481]) ).
fof(f481,plain,
true = k1(e),
inference(superposition,[],[f473,f1]) ).
fof(f473,plain,
true = ifeq(true,true,k1(e),true),
inference(superposition,[],[f40,f4]) ).
fof(f40,axiom,
! [X6,X5] : true = ifeq(n0(X5,X6),true,k1(X6),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f210,axiom,
! [X7] : true = ifeq(n2(X7),true,ifeq(k1(e),true,p2(X7,X7,X7),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_174) ).
fof(f274,axiom,
! [X10,X11,X9] : true = ifeq(p2(X9,X10,X11),true,n3(X11),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
fof(f330,axiom,
! [X8,X6,X7,X5] : true = ifeq(q3(X7,X6),true,ifeq(n3(X8),true,ifeq(p0(X5,X8),true,r4(X8),true),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).
fof(f1237,plain,
! [X6,X7] : true = ifeq(r4(X6),true,s5(X7),true),
inference(forward_demodulation,[],[f1232,f1]) ).
fof(f1232,plain,
! [X6,X7] : true = ifeq(r4(X6),true,ifeq(true,true,s5(X7),true),true),
inference(backward_demodulation,[],[f361,f1225]) ).
fof(f1225,plain,
! [X0] : true = l4(X0),
inference(superposition,[],[f1212,f1]) ).
fof(f1212,plain,
! [X0] : true = ifeq(true,true,l4(X0),true),
inference(superposition,[],[f310,f1196]) ).
fof(f1196,plain,
! [X0] : true = p3(X0,X0,X0),
inference(superposition,[],[f1095,f1]) ).
fof(f1095,plain,
! [X7] : true = ifeq(true,true,p3(X7,X7,X7),true),
inference(backward_demodulation,[],[f278,f1086]) ).
fof(f278,axiom,
! [X7] : true = ifeq(n2(X7),true,p3(X7,X7,X7),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).
fof(f310,axiom,
! [X0,X1,X5] : true = ifeq(p3(X0,X1,X5),true,l4(X5),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_277) ).
fof(f361,axiom,
! [X6,X7] : true = ifeq(r4(X6),true,ifeq(l4(X7),true,s5(X7),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_329) ).
fof(f363,axiom,
true != s5(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN214-10 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 01:46:49 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (30111)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (30115)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (30114)WARNING: value z3 for option sas not known
% 0.16/0.40 % (30112)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.40 % (30117)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)
% 0.16/0.40 % (30118)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)
% 0.16/0.40 % (30113)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.40 % (30116)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)
% 0.16/0.40 % (30114)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)
% 0.22/0.50 TRYING [1]
% 0.22/0.51 TRYING [2]
% 0.22/0.54 % (30117)First to succeed.
% 0.22/0.54 % (30117)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.54 % (30117)------------------------------
% 0.22/0.54 % (30117)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.54 % (30117)Termination reason: Refutation
% 0.22/0.54
% 0.22/0.54 % (30117)Memory used [KB]: 2768
% 0.22/0.54 % (30117)Time elapsed: 0.147 s
% 0.22/0.54 % (30117)Instructions burned: 299 (million)
% 0.22/0.54 % (30117)------------------------------
% 0.22/0.54 % (30117)------------------------------
% 0.22/0.54 % (30111)Success in time 0.182 s
%------------------------------------------------------------------------------