TSTP Solution File: RNG020-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG020-6 : TPTP v8.1.0. Released v1.0.0.
% 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 : 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 : Wed Aug 31 18:15:22 EDT 2022
% Result : Unsatisfiable 1.36s 0.57s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 96 ( 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f973,plain,
$false,
inference(trivial_inequality_removal,[],[f972]) ).
fof(f972,plain,
associator(x,add(u,v),y) != associator(x,add(u,v),y),
inference(backward_demodulation,[],[f16,f971]) ).
fof(f971,plain,
! [X2,X3,X4,X5] : add(associator(X2,X3,X5),associator(X2,X4,X5)) = associator(X2,add(X3,X4),X5),
inference(forward_demodulation,[],[f970,f348]) ).
fof(f348,plain,
! [X8,X6,X7] : add(X8,add(X6,add(X7,additive_inverse(X8)))) = add(X6,X7),
inference(superposition,[],[f295,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f295,plain,
! [X2,X1] : add(X1,add(X2,additive_inverse(X1))) = X2,
inference(superposition,[],[f50,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f50,plain,
! [X2,X3] : add(X2,add(additive_inverse(X2),X3)) = X3,
inference(forward_demodulation,[],[f36,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f36,plain,
! [X2,X3] : add(additive_identity,X3) = add(X2,add(additive_inverse(X2),X3)),
inference(superposition,[],[f11,f6]) ).
fof(f6,axiom,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f970,plain,
! [X2,X3,X4,X5] : add(multiply(X2,multiply(X3,X5)),add(associator(X2,X3,X5),add(associator(X2,X4,X5),additive_inverse(multiply(X2,multiply(X3,X5)))))) = associator(X2,add(X3,X4),X5),
inference(forward_demodulation,[],[f953,f489]) ).
fof(f489,plain,
! [X10,X11,X9] : add(X9,add(X10,add(additive_inverse(X9),X11))) = add(X10,X11),
inference(forward_demodulation,[],[f357,f11]) ).
fof(f357,plain,
! [X10,X11,X9] : add(X9,add(add(X10,additive_inverse(X9)),X11)) = add(X10,X11),
inference(superposition,[],[f11,f295]) ).
fof(f953,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(X2,multiply(X3,X5)),add(associator(X2,X3,X5),add(multiply(X2,multiply(X4,X5)),add(associator(X2,X4,X5),add(additive_inverse(multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X3,X5)))))))),
inference(backward_demodulation,[],[f446,f922]) ).
fof(f922,plain,
! [X21,X22] : add(additive_inverse(X21),additive_inverse(X22)) = additive_inverse(add(X22,X21)),
inference(superposition,[],[f53,f541]) ).
fof(f541,plain,
! [X14,X15] : additive_inverse(X14) = add(X15,additive_inverse(add(X14,X15))),
inference(forward_demodulation,[],[f512,f2]) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f512,plain,
! [X14,X15] : add(additive_inverse(X14),additive_identity) = add(X15,additive_inverse(add(X14,X15))),
inference(superposition,[],[f53,f47]) ).
fof(f47,plain,
! [X2,X3] : additive_identity = add(X2,add(X3,additive_inverse(add(X2,X3)))),
inference(superposition,[],[f6,f11]) ).
fof(f53,plain,
! [X16,X17] : add(additive_inverse(X16),add(X16,X17)) = X17,
inference(forward_demodulation,[],[f41,f1]) ).
fof(f41,plain,
! [X16,X17] : add(additive_identity,X17) = add(additive_inverse(X16),add(X16,X17)),
inference(superposition,[],[f11,f5]) ).
fof(f5,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f446,plain,
! [X2,X3,X4,X5] : add(multiply(X2,multiply(X3,X5)),add(associator(X2,X3,X5),add(multiply(X2,multiply(X4,X5)),add(associator(X2,X4,X5),additive_inverse(add(multiply(X2,multiply(X3,X5)),multiply(X2,multiply(X4,X5)))))))) = associator(X2,add(X3,X4),X5),
inference(forward_demodulation,[],[f445,f11]) ).
fof(f445,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(add(multiply(X2,multiply(X3,X5)),associator(X2,X3,X5)),add(multiply(X2,multiply(X4,X5)),add(associator(X2,X4,X5),additive_inverse(add(multiply(X2,multiply(X3,X5)),multiply(X2,multiply(X4,X5))))))),
inference(forward_demodulation,[],[f444,f349]) ).
fof(f349,plain,
! [X10,X11,X9] : multiply(multiply(X9,X10),X11) = add(multiply(X9,multiply(X10,X11)),associator(X9,X10,X11)),
inference(superposition,[],[f295,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator) ).
fof(f444,plain,
! [X2,X3,X4,X5] : add(multiply(multiply(X2,X3),X5),add(multiply(X2,multiply(X4,X5)),add(associator(X2,X4,X5),additive_inverse(add(multiply(X2,multiply(X3,X5)),multiply(X2,multiply(X4,X5))))))) = associator(X2,add(X3,X4),X5),
inference(forward_demodulation,[],[f374,f11]) ).
fof(f374,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(multiply(X2,X3),X5),add(add(multiply(X2,multiply(X4,X5)),associator(X2,X4,X5)),additive_inverse(add(multiply(X2,multiply(X3,X5)),multiply(X2,multiply(X4,X5)))))),
inference(backward_demodulation,[],[f255,f349]) ).
fof(f255,plain,
! [X2,X3,X4,X5] : add(multiply(multiply(X2,X3),X5),add(multiply(multiply(X2,X4),X5),additive_inverse(add(multiply(X2,multiply(X3,X5)),multiply(X2,multiply(X4,X5)))))) = associator(X2,add(X3,X4),X5),
inference(forward_demodulation,[],[f254,f11]) ).
fof(f254,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(add(multiply(multiply(X2,X3),X5),multiply(multiply(X2,X4),X5)),additive_inverse(add(multiply(X2,multiply(X3,X5)),multiply(X2,multiply(X4,X5))))),
inference(forward_demodulation,[],[f253,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute2) ).
fof(f253,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(add(multiply(X2,X3),multiply(X2,X4)),X5),additive_inverse(add(multiply(X2,multiply(X3,X5)),multiply(X2,multiply(X4,X5))))),
inference(forward_demodulation,[],[f252,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).
fof(f252,plain,
! [X2,X3,X4,X5] : add(multiply(add(multiply(X2,X3),multiply(X2,X4)),X5),additive_inverse(multiply(X2,add(multiply(X3,X5),multiply(X4,X5))))) = associator(X2,add(X3,X4),X5),
inference(forward_demodulation,[],[f219,f9]) ).
fof(f219,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(add(multiply(X2,X3),multiply(X2,X4)),X5),additive_inverse(multiply(X2,multiply(add(X3,X4),X5)))),
inference(superposition,[],[f14,f8]) ).
fof(f16,axiom,
associator(x,add(u,v),y) != add(associator(x,u,y),associator(x,v,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_linearised_form2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG020-6 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 11:46:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (15637)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.46 % (15629)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.46 % (15636)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.48 % (15645)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50 % (15653)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.50 % (15652)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.23/0.52 % (15624)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)
% 1.23/0.52 % (15650)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.23/0.52 TRYING [1]
% 1.36/0.52 TRYING [2]
% 1.36/0.52 % (15627)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.53 % (15644)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.36/0.53 TRYING [3]
% 1.36/0.53 % (15646)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)
% 1.36/0.53 % (15639)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)
% 1.36/0.53 % (15638)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.36/0.53 % (15628)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.53 % (15626)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)
% 1.36/0.53 % (15631)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.53 % (15632)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.36/0.53 % (15632)Instruction limit reached!
% 1.36/0.53 % (15632)------------------------------
% 1.36/0.53 % (15632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.53 % (15632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.53 % (15632)Termination reason: Unknown
% 1.36/0.53 % (15632)Termination phase: Saturation
% 1.36/0.53
% 1.36/0.53 % (15632)Memory used [KB]: 5373
% 1.36/0.53 % (15632)Time elapsed: 0.140 s
% 1.36/0.53 % (15632)Instructions burned: 2 (million)
% 1.36/0.53 % (15632)------------------------------
% 1.36/0.53 % (15632)------------------------------
% 1.36/0.53 % (15642)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.54 % (15631)Instruction limit reached!
% 1.36/0.54 % (15631)------------------------------
% 1.36/0.54 % (15631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54 % (15625)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.54 % (15641)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.36/0.54 % (15647)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)
% 1.36/0.54 % (15643)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.54 % (15651)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.36/0.54 TRYING [1]
% 1.36/0.54 TRYING [2]
% 1.36/0.54 % (15648)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.36/0.54 TRYING [4]
% 1.36/0.54 % (15630)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)
% 1.36/0.54 % (15631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54 % (15631)Termination reason: Unknown
% 1.36/0.54 % (15631)Termination phase: Saturation
% 1.36/0.54
% 1.36/0.54 % (15631)Memory used [KB]: 5500
% 1.36/0.54 % (15631)Time elapsed: 0.136 s
% 1.36/0.54 % (15631)Instructions burned: 7 (million)
% 1.36/0.54 % (15631)------------------------------
% 1.36/0.54 % (15631)------------------------------
% 1.36/0.54 % (15640)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)
% 1.36/0.54 TRYING [3]
% 1.36/0.54 % (15635)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.54 % (15629)Instruction limit reached!
% 1.36/0.54 % (15629)------------------------------
% 1.36/0.54 % (15629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54 % (15629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54 % (15629)Termination reason: Unknown
% 1.36/0.54 % (15629)Termination phase: Saturation
% 1.36/0.54
% 1.36/0.54 % (15629)Memory used [KB]: 6268
% 1.36/0.54 % (15629)Time elapsed: 0.157 s
% 1.36/0.54 % (15629)Instructions burned: 50 (million)
% 1.36/0.54 % (15629)------------------------------
% 1.36/0.54 % (15629)------------------------------
% 1.36/0.54 % (15633)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.55 TRYING [1]
% 1.36/0.55 % (15649)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.36/0.55 % (15634)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.56 TRYING [2]
% 1.36/0.56 TRYING [3]
% 1.36/0.57 % (15653)First to succeed.
% 1.36/0.57 % (15653)Refutation found. Thanks to Tanya!
% 1.36/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.36/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.57 % (15653)------------------------------
% 1.36/0.57 % (15653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.57 % (15653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.57 % (15653)Termination reason: Refutation
% 1.36/0.57
% 1.36/0.57 % (15653)Memory used [KB]: 6012
% 1.36/0.57 % (15653)Time elapsed: 0.180 s
% 1.36/0.57 % (15653)Instructions burned: 42 (million)
% 1.36/0.57 % (15653)------------------------------
% 1.36/0.57 % (15653)------------------------------
% 1.36/0.57 % (15623)Success in time 0.221 s
%------------------------------------------------------------------------------