TSTP Solution File: SYN116-10 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN116-10 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 08:34:14 EDT 2024
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 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 : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3026,plain,
$false,
inference(trivial_inequality_removal,[],[f3022]) ).
fof(f3022,plain,
true != true,
inference(superposition,[],[f363,f3020]) ).
fof(f3020,plain,
! [X0] : true = k5(X0),
inference(superposition,[],[f3018,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3018,plain,
! [X0] : true = ifeq(true,true,k5(X0),true),
inference(superposition,[],[f2171,f3004]) ).
fof(f3004,plain,
true = s4(d),
inference(superposition,[],[f2996,f1]) ).
fof(f2996,plain,
true = ifeq(true,true,s4(d),true),
inference(superposition,[],[f2991,f1122]) ).
fof(f1122,plain,
! [X0] : true = p3(X0,X0,X0),
inference(superposition,[],[f915,f1]) ).
fof(f915,plain,
! [X0] : true = ifeq(true,true,p3(X0,X0,X0),true),
inference(superposition,[],[f278,f901]) ).
fof(f901,plain,
! [X0] : true = n2(X0),
inference(superposition,[],[f884,f1]) ).
fof(f884,plain,
! [X0] : true = ifeq(true,true,n2(X0),true),
inference(superposition,[],[f173,f875]) ).
fof(f875,plain,
! [X0] : true = p1(X0,X0,X0),
inference(superposition,[],[f854,f1]) ).
fof(f854,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(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(f278,axiom,
! [X7] : true = ifeq(n2(X7),true,p3(X7,X7,X7),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).
fof(f2991,plain,
! [X0,X1] : true = ifeq(p3(X0,d,X1),true,s4(d),true),
inference(forward_demodulation,[],[f2986,f1]) ).
fof(f2986,plain,
! [X0,X1] : true = ifeq(p3(X0,d,X1),true,ifeq(true,true,s4(d),true),true),
inference(superposition,[],[f331,f436]) ).
fof(f436,plain,
true = l1(d,d),
inference(superposition,[],[f419,f1]) ).
fof(f419,plain,
true = ifeq(true,true,l1(d,d),true),
inference(superposition,[],[f41,f35]) ).
fof(f35,axiom,
true = n0(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f41,axiom,
! [X8,X7] : true = ifeq(n0(X7,X8),true,l1(X8,X8),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
fof(f331,axiom,
! [X2,X0,X11,X1] : true = ifeq(p3(X1,X2,X11),true,ifeq(l1(X0,X2),true,s4(X0),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).
fof(f2171,plain,
! [X0,X1] : true = ifeq(s4(X1),true,k5(X0),true),
inference(forward_demodulation,[],[f2170,f1]) ).
fof(f2170,plain,
! [X0,X1] : true = ifeq(s4(X1),true,ifeq(true,true,k5(X0),true),true),
inference(superposition,[],[f332,f1607]) ).
fof(f1607,plain,
! [X0] : true = r3(X0,X0,X0),
inference(superposition,[],[f1599,f1]) ).
fof(f1599,plain,
! [X0] : true = ifeq(true,true,r3(X0,X0,X0),true),
inference(superposition,[],[f301,f1446]) ).
fof(f1446,plain,
! [X0] : true = p2(X0,X0,X0),
inference(superposition,[],[f1430,f1]) ).
fof(f1430,plain,
! [X0] : true = ifeq(true,true,p2(X0,X0,X0),true),
inference(superposition,[],[f186,f1279]) ).
fof(f1279,plain,
! [X0] : true = m1(X0,X0,X0),
inference(superposition,[],[f1264,f1]) ).
fof(f1264,plain,
! [X0] : true = ifeq(true,true,m1(X0,X0,X0),true),
inference(superposition,[],[f45,f20]) ).
fof(f20,axiom,
! [X3,X4] : true = m0(X3,d,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f45,axiom,
! [X0,X5] : true = ifeq(m0(X0,X0,X5),true,m1(X5,X5,X5),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_006) ).
fof(f186,axiom,
! [X10,X8] : true = ifeq(m1(X8,X8,X10),true,p2(X10,X10,X10),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).
fof(f301,axiom,
! [X2,X11,X1] : true = ifeq(p2(X1,X11,X2),true,r3(X1,X2,X1),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_267) ).
fof(f332,axiom,
! [X10,X8,X9] : true = ifeq(s4(X10),true,ifeq(r3(X8,X9,X9),true,k5(X9),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_300) ).
fof(f363,axiom,
true != k5(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN116-10 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n021.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 14:30:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (7257)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (7260)WARNING: value z3 for option sas not known
% 0.14/0.39 % (7259)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 % (7258)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (7261)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (7262)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 % (7260)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 % (7264)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 % (7263)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)
% 0.20/0.48 % (7260)First to succeed.
% 0.20/0.48 % (7260)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7257"
% 0.20/0.48 % (7264)Also succeeded, but the first one will report.
% 0.20/0.48 % (7260)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (7260)------------------------------
% 0.20/0.48 % (7260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.48 % (7260)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (7260)Memory used [KB]: 2101
% 0.20/0.48 % (7260)Time elapsed: 0.094 s
% 0.20/0.48 % (7260)Instructions burned: 175 (million)
% 0.20/0.48 % (7257)Success in time 0.129 s
%------------------------------------------------------------------------------