TSTP Solution File: GRP544-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.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 : Wed Aug 31 16:22:49 EDT 2022
% Result : Unsatisfiable 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f233,plain,
$false,
inference(subsumption_resolution,[],[f232,f8]) ).
fof(f8,plain,
sF1 != sF0,
inference(definition_folding,[],[f5,f7,f6]) ).
fof(f6,plain,
multiply(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f7,plain,
multiply(b,a) = sF1,
introduced(function_definition,[]) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f232,plain,
sF1 = sF0,
inference(forward_demodulation,[],[f231,f6]) ).
fof(f231,plain,
multiply(a,b) = sF1,
inference(forward_demodulation,[],[f230,f67]) ).
fof(f67,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f66,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f66,plain,
! [X0] : multiply(divide(identity,identity),X0) = X0,
inference(forward_demodulation,[],[f65,f9]) ).
fof(f9,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f2,f4]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f65,plain,
! [X0] : multiply(multiply(identity,identity),X0) = X0,
inference(superposition,[],[f2,f50]) ).
fof(f50,plain,
! [X3,X4] : divide(multiply(identity,X3),divide(X3,X4)) = X4,
inference(forward_demodulation,[],[f45,f2]) ).
fof(f45,plain,
! [X3,X4] : divide(divide(identity,divide(identity,X3)),divide(X3,X4)) = X4,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f230,plain,
sF1 = multiply(multiply(identity,a),b),
inference(forward_demodulation,[],[f217,f2]) ).
fof(f217,plain,
sF1 = multiply(divide(identity,divide(identity,a)),b),
inference(superposition,[],[f189,f146]) ).
fof(f146,plain,
divide(identity,a) = divide(b,sF1),
inference(superposition,[],[f80,f7]) ).
fof(f80,plain,
! [X2,X1] : divide(X1,multiply(X1,X2)) = divide(identity,X2),
inference(forward_demodulation,[],[f62,f67]) ).
fof(f62,plain,
! [X2,X1] : divide(identity,X2) = divide(multiply(identity,X1),multiply(X1,X2)),
inference(superposition,[],[f50,f2]) ).
fof(f189,plain,
! [X2,X1] : multiply(divide(identity,divide(X2,X1)),X2) = X1,
inference(backward_demodulation,[],[f74,f186]) ).
fof(f186,plain,
! [X10,X11] : divide(X11,X10) = multiply(divide(identity,X10),X11),
inference(forward_demodulation,[],[f185,f67]) ).
fof(f185,plain,
! [X10,X11] : multiply(divide(identity,X10),X11) = divide(multiply(identity,X11),X10),
inference(forward_demodulation,[],[f178,f2]) ).
fof(f178,plain,
! [X10,X11] : multiply(divide(identity,X10),X11) = divide(divide(identity,divide(identity,X11)),X10),
inference(superposition,[],[f41,f80]) ).
fof(f41,plain,
! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f74,plain,
! [X2,X1] : multiply(divide(identity,multiply(divide(identity,X1),X2)),X2) = X1,
inference(backward_demodulation,[],[f53,f69]) ).
fof(f69,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f61,f67]) ).
fof(f61,plain,
! [X0] : divide(multiply(identity,X0),identity) = X0,
inference(superposition,[],[f50,f4]) ).
fof(f53,plain,
! [X2,X1] : multiply(divide(identity,multiply(divide(identity,divide(X1,identity)),X2)),X2) = X1,
inference(forward_demodulation,[],[f52,f2]) ).
fof(f52,plain,
! [X2,X1] : multiply(divide(identity,divide(divide(identity,divide(X1,identity)),divide(identity,X2))),X2) = X1,
inference(forward_demodulation,[],[f49,f44]) ).
fof(f44,plain,
! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,divide(X1,identity)),X2),
inference(superposition,[],[f1,f1]) ).
fof(f49,plain,
! [X2,X0,X1] : multiply(divide(identity,divide(divide(divide(X0,X1),divide(identity,X2)),X0)),X2) = X1,
inference(superposition,[],[f2,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.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 Aug 29 22:29:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (5202)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.51 TRYING [1]
% 0.21/0.51 TRYING [2]
% 0.21/0.51 TRYING [3]
% 0.21/0.51 TRYING [4]
% 0.21/0.52 TRYING [5]
% 0.21/0.52 % (5209)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (5208)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (5210)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (5217)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.53 TRYING [6]
% 0.21/0.54 % (5225)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.54 % (5226)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (5224)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (5210)Instruction limit reached!
% 0.21/0.54 % (5210)------------------------------
% 0.21/0.54 % (5210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (5210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (5210)Termination reason: Unknown
% 0.21/0.54 % (5210)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (5210)Memory used [KB]: 5373
% 0.21/0.54 % (5210)Time elapsed: 0.128 s
% 0.21/0.54 % (5210)Instructions burned: 3 (million)
% 0.21/0.54 % (5210)------------------------------
% 0.21/0.54 % (5210)------------------------------
% 0.21/0.54 TRYING [3]
% 0.21/0.55 % (5206)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (5209)Instruction limit reached!
% 0.21/0.55 % (5209)------------------------------
% 0.21/0.55 % (5209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (5209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (5209)Termination reason: Unknown
% 0.21/0.55 % (5209)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (5209)Memory used [KB]: 5500
% 0.21/0.55 % (5209)Time elapsed: 0.113 s
% 0.21/0.55 % (5209)Instructions burned: 9 (million)
% 0.21/0.55 % (5209)------------------------------
% 0.21/0.55 % (5209)------------------------------
% 0.21/0.55 TRYING [4]
% 0.21/0.55 % (5212)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (5218)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (5217)First to succeed.
% 0.21/0.55 % (5215)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 % (5204)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.56 % (5217)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (5217)------------------------------
% 0.21/0.56 % (5217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (5217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (5217)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (5217)Memory used [KB]: 1023
% 0.21/0.56 % (5217)Time elapsed: 0.119 s
% 0.21/0.56 % (5217)Instructions burned: 11 (million)
% 0.21/0.56 % (5217)------------------------------
% 0.21/0.56 % (5217)------------------------------
% 0.21/0.56 % (5201)Success in time 0.197 s
%------------------------------------------------------------------------------