TSTP Solution File: SYN563-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN563-10 : 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 : n006.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 18:04:26 EDT 2024
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 45 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5572,plain,
$false,
inference(subsumption_resolution,[],[f5571,f20]) ).
fof(f20,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f5571,plain,
a = b,
inference(forward_demodulation,[],[f5533,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f5533,plain,
b = ifeq(true,true,a,b),
inference(superposition,[],[f19,f5527]) ).
fof(f5527,plain,
true = p6(f4(c7),f3(f4(c8))),
inference(superposition,[],[f5496,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f5496,plain,
true = ifeq2(true,true,p6(f4(c7),f3(f4(c8))),true),
inference(superposition,[],[f1568,f2244]) ).
fof(f2244,plain,
true = p6(f4(c8),f3(f4(c8))),
inference(superposition,[],[f1960,f1]) ).
fof(f1960,plain,
true = ifeq2(true,true,p6(f4(c8),f3(f4(c8))),true),
inference(forward_demodulation,[],[f1959,f1]) ).
fof(f1959,plain,
true = ifeq2(true,true,ifeq2(true,true,p6(f4(c8),f3(f4(c8))),true),true),
inference(forward_demodulation,[],[f1932,f1236]) ).
fof(f1236,plain,
true = p6(f4(c7),f3(f4(c7))),
inference(superposition,[],[f1207,f1]) ).
fof(f1207,plain,
true = ifeq2(true,true,p6(f4(c7),f3(f4(c7))),true),
inference(superposition,[],[f10,f1200]) ).
fof(f1200,plain,
true = p5(c7,f3(f4(c7))),
inference(superposition,[],[f1192,f1]) ).
fof(f1192,plain,
true = ifeq2(true,true,p5(c7,f3(f4(c7))),true),
inference(superposition,[],[f297,f46]) ).
fof(f46,plain,
true = p6(c7,f3(f3(c7))),
inference(superposition,[],[f36,f1]) ).
fof(f36,plain,
true = ifeq2(true,true,p6(c7,f3(f3(c7))),true),
inference(superposition,[],[f9,f32]) ).
fof(f32,plain,
true = p6(c7,f3(c7)),
inference(superposition,[],[f31,f1]) ).
fof(f31,plain,
true = ifeq2(true,true,p6(c7,f3(c7)),true),
inference(superposition,[],[f9,f4]) ).
fof(f4,axiom,
! [X4] : true = p6(X4,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_2) ).
fof(f9,axiom,
! [X10] : true = ifeq2(p6(c7,X10),true,p6(c7,f3(X10)),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_9) ).
fof(f297,plain,
! [X0,X1] : true = ifeq2(p6(X1,f3(f3(X0))),true,p5(X1,f3(f4(X0))),true),
inference(forward_demodulation,[],[f289,f1]) ).
fof(f289,plain,
! [X0,X1] : true = ifeq2(p6(X1,f3(f3(X0))),true,ifeq2(true,true,p5(X1,f3(f4(X0))),true),true),
inference(superposition,[],[f15,f7]) ).
fof(f7,axiom,
! [X7] : true = p5(f3(f3(X7)),f3(f4(X7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_7) ).
fof(f15,axiom,
! [X21,X22,X20] : true = ifeq2(p6(X20,X21),true,ifeq2(p5(X21,X22),true,p5(X20,X22),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_15) ).
fof(f10,axiom,
! [X8,X9] : true = ifeq2(p5(X8,X9),true,p6(f4(X8),X9),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_10) ).
fof(f1932,plain,
true = ifeq2(true,true,ifeq2(p6(f4(c7),f3(f4(c7))),true,p6(f4(c8),f3(f4(c8))),true),true),
inference(superposition,[],[f380,f148]) ).
fof(f148,plain,
true = p2(f3(f4(c7)),f3(f4(c8))),
inference(superposition,[],[f105,f1]) ).
fof(f105,plain,
true = ifeq2(true,true,p2(f3(f4(c7)),f3(f4(c8))),true),
inference(superposition,[],[f11,f5]) ).
fof(f5,axiom,
true = p2(f4(c7),f4(c8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f11,axiom,
! [X11,X12] : true = ifeq2(p2(X11,X12),true,p2(f3(X11),f3(X12)),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
fof(f380,plain,
! [X0,X1] : true = ifeq2(p2(X0,X1),true,ifeq2(p6(f4(c7),X0),true,p6(f4(c8),X1),true),true),
inference(forward_demodulation,[],[f348,f1]) ).
fof(f348,plain,
! [X0,X1] : true = ifeq2(p2(X0,X1),true,ifeq2(true,true,ifeq2(p6(f4(c7),X0),true,p6(f4(c8),X1),true),true),true),
inference(superposition,[],[f16,f5]) ).
fof(f16,axiom,
! [X26,X24,X25,X23] : true = ifeq2(p2(X23,X24),true,ifeq2(p2(X25,X26),true,ifeq2(p6(X25,X23),true,p6(X26,X24),true),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_16) ).
fof(f1568,plain,
! [X0] : true = ifeq2(p6(f4(c8),X0),true,p6(f4(c7),X0),true),
inference(forward_demodulation,[],[f1553,f1]) ).
fof(f1553,plain,
! [X0] : true = ifeq2(p6(f4(c8),X0),true,ifeq2(true,true,p6(f4(c7),X0),true),true),
inference(superposition,[],[f14,f1545]) ).
fof(f1545,plain,
true = p6(f4(c7),f4(c8)),
inference(superposition,[],[f1509,f1]) ).
fof(f1509,plain,
true = ifeq2(true,true,p6(f4(c7),f4(c8)),true),
inference(superposition,[],[f1481,f5]) ).
fof(f1481,plain,
! [X0,X1] : true = ifeq2(p2(X0,X1),true,p6(X0,X1),true),
inference(forward_demodulation,[],[f1427,f1]) ).
fof(f1427,plain,
! [X0,X1] : true = ifeq2(p2(X0,X1),true,ifeq2(true,true,p6(X0,X1),true),true),
inference(superposition,[],[f379,f4]) ).
fof(f379,plain,
! [X2,X0,X1] : true = ifeq2(p2(X1,X2),true,ifeq2(p6(X0,X1),true,p6(X0,X2),true),true),
inference(forward_demodulation,[],[f347,f1]) ).
fof(f347,plain,
! [X2,X0,X1] : true = ifeq2(p2(X1,X2),true,ifeq2(true,true,ifeq2(p6(X0,X1),true,p6(X0,X2),true),true),true),
inference(superposition,[],[f16,f3]) ).
fof(f3,axiom,
! [X3] : p2(X3,X3) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f14,axiom,
! [X18,X19,X17] : true = ifeq2(p6(X17,X18),true,ifeq2(p6(X19,X17),true,p6(X19,X18),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
fof(f19,axiom,
b = ifeq(p6(f4(c7),f3(f4(c8))),true,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 01:41:20 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (23523)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (23528)WARNING: value z3 for option sas not known
% 0.21/0.37 % (23525)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (23529)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (23527)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (23528)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)
% 0.21/0.37 % (23532)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)
% 0.21/0.37 % (23531)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)
% 0.21/0.37 % (23530)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.43 TRYING [4]
% 0.21/0.50 TRYING [4]
% 0.21/0.53 % (23528)First to succeed.
% 0.21/0.53 % (23528)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (23528)------------------------------
% 0.21/0.53 % (23528)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.53 % (23528)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (23528)Memory used [KB]: 3558
% 0.21/0.53 % (23528)Time elapsed: 0.156 s
% 0.21/0.53 % (23528)Instructions burned: 413 (million)
% 0.21/0.53 % (23528)------------------------------
% 0.21/0.53 % (23528)------------------------------
% 0.21/0.53 % (23523)Success in time 0.17 s
%------------------------------------------------------------------------------