TSTP Solution File: RNG008-4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG008-4 : 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 : 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 : Wed Aug 31 18:15:18 EDT 2022
% Result : Unsatisfiable 0.10s 0.50s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1112,plain,
$false,
inference(trivial_inequality_removal,[],[f1111]) ).
fof(f1111,plain,
c != c,
inference(forward_demodulation,[],[f1094,f16]) ).
fof(f16,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f1094,plain,
multiply(a,b) != c,
inference(superposition,[],[f17,f1019]) ).
fof(f1019,plain,
! [X36,X37] : multiply(X37,X36) = multiply(X36,X37),
inference(forward_demodulation,[],[f1018,f69]) ).
fof(f69,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(superposition,[],[f13,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f13,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutative_addition) ).
fof(f1018,plain,
! [X36,X37] : add(multiply(X37,X36),additive_identity) = multiply(X36,X37),
inference(forward_demodulation,[],[f1017,f141]) ).
fof(f141,plain,
! [X0] : additive_identity = add(X0,X0),
inference(backward_demodulation,[],[f2,f140]) ).
fof(f140,plain,
! [X0] : additive_inverse(X0) = X0,
inference(forward_demodulation,[],[f133,f15]) ).
fof(f15,axiom,
! [X0] : multiply(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolean_ring) ).
fof(f133,plain,
! [X0] : additive_inverse(X0) = multiply(X0,X0),
inference(backward_demodulation,[],[f75,f132]) ).
fof(f132,plain,
! [X3,X4] : multiply(additive_inverse(X3),X4) = multiply(X3,X4),
inference(forward_demodulation,[],[f130,f129]) ).
fof(f129,plain,
! [X2,X1] : multiply(X2,X1) = multiply(X2,additive_inverse(X1)),
inference(forward_demodulation,[],[f104,f126]) ).
fof(f126,plain,
! [X3,X4] : multiply(X3,additive_inverse(X4)) = multiply(additive_inverse(X3),additive_inverse(X4)),
inference(forward_demodulation,[],[f122,f84]) ).
fof(f84,plain,
! [X2,X3] : multiply(additive_inverse(X2),multiply(X2,X3)) = multiply(additive_inverse(X2),X3),
inference(forward_demodulation,[],[f77,f11]) ).
fof(f11,axiom,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_additive_inverse2) ).
fof(f77,plain,
! [X2,X3] : multiply(additive_inverse(X2),multiply(X2,X3)) = additive_inverse(multiply(X2,X3)),
inference(superposition,[],[f11,f21]) ).
fof(f21,plain,
! [X2,X1] : multiply(X1,X2) = multiply(X1,multiply(X1,X2)),
inference(superposition,[],[f14,f15]) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_multiplication) ).
fof(f122,plain,
! [X3,X4] : multiply(X3,additive_inverse(X4)) = multiply(additive_inverse(X3),multiply(X3,additive_inverse(X4))),
inference(superposition,[],[f21,f18]) ).
fof(f18,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[],[f10,f11]) ).
fof(f10,axiom,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_additive_inverse1) ).
fof(f104,plain,
! [X2,X1] : multiply(X2,X1) = multiply(additive_inverse(X2),additive_inverse(X1)),
inference(superposition,[],[f18,f6]) ).
fof(f6,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f130,plain,
! [X3,X4] : multiply(X3,X4) = multiply(additive_inverse(X3),additive_inverse(X4)),
inference(backward_demodulation,[],[f126,f129]) ).
fof(f75,plain,
! [X0] : additive_inverse(X0) = multiply(additive_inverse(X0),X0),
inference(superposition,[],[f11,f15]) ).
fof(f2,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f1017,plain,
! [X36,X37] : add(multiply(X37,X36),add(X36,X36)) = multiply(X36,X37),
inference(forward_demodulation,[],[f983,f12]) ).
fof(f12,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_addition) ).
fof(f983,plain,
! [X36,X37] : add(add(multiply(X37,X36),X36),X36) = multiply(X36,X37),
inference(superposition,[],[f260,f484]) ).
fof(f484,plain,
! [X4,X5] : add(multiply(X5,X4),add(multiply(X4,X5),X5)) = X5,
inference(forward_demodulation,[],[f465,f197]) ).
fof(f197,plain,
! [X2,X3] : add(X2,add(X2,X3)) = X3,
inference(forward_demodulation,[],[f184,f1]) ).
fof(f184,plain,
! [X2,X3] : add(additive_identity,X3) = add(X2,add(X2,X3)),
inference(superposition,[],[f12,f141]) ).
fof(f465,plain,
! [X4,X5] : add(multiply(X5,X4),add(multiply(X4,X5),X5)) = add(X4,add(X4,X5)),
inference(superposition,[],[f197,f240]) ).
fof(f240,plain,
! [X3,X4] : add(X3,X4) = add(X3,add(multiply(X4,X3),add(multiply(X3,X4),X4))),
inference(forward_demodulation,[],[f239,f15]) ).
fof(f239,plain,
! [X3,X4] : add(X3,X4) = add(multiply(X3,X3),add(multiply(X4,X3),add(multiply(X3,X4),X4))),
inference(forward_demodulation,[],[f238,f12]) ).
fof(f238,plain,
! [X3,X4] : add(X3,X4) = add(add(multiply(X3,X3),multiply(X4,X3)),add(multiply(X3,X4),X4)),
inference(forward_demodulation,[],[f237,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute2) ).
fof(f237,plain,
! [X3,X4] : add(X3,X4) = add(multiply(add(X3,X4),X3),add(multiply(X3,X4),X4)),
inference(forward_demodulation,[],[f236,f15]) ).
fof(f236,plain,
! [X3,X4] : add(X3,X4) = add(multiply(add(X3,X4),X3),add(multiply(X3,X4),multiply(X4,X4))),
inference(forward_demodulation,[],[f208,f4]) ).
fof(f208,plain,
! [X3,X4] : add(X3,X4) = add(multiply(add(X3,X4),X3),multiply(add(X3,X4),X4)),
inference(superposition,[],[f3,f15]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute1) ).
fof(f260,plain,
! [X2,X3] : add(X2,add(X3,X2)) = X3,
inference(superposition,[],[f197,f13]) ).
fof(f17,axiom,
c != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : RNG008-4 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.26 % Computer : n013.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Aug 30 11:38:46 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.10/0.41 % (12324)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.42 % (12332)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.10/0.43 % (12331)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)
% 0.10/0.44 % (12313)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)
% 0.10/0.44 % (12339)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.10/0.44 % (12340)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)
% 0.10/0.44 % (12314)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)
% 0.10/0.45 % (12312)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)
% 0.10/0.45 % (12323)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.10/0.45 % (12333)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)
% 0.10/0.45 % (12311)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)
% 0.10/0.45 % (12337)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)
% 0.10/0.45 % (12325)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)
% 0.10/0.45 % (12335)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.10/0.45 % (12320)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)
% 0.10/0.45 % (12319)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.45 TRYING [1]
% 0.10/0.45 TRYING [2]
% 0.10/0.45 % (12329)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.45 % (12319)Instruction limit reached!
% 0.10/0.45 % (12319)------------------------------
% 0.10/0.45 % (12319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (12319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45 % (12319)Termination reason: Unknown
% 0.10/0.45 % (12319)Termination phase: Saturation
% 0.10/0.45
% 0.10/0.45 % (12319)Memory used [KB]: 5373
% 0.10/0.45 % (12319)Time elapsed: 0.133 s
% 0.10/0.45 % (12319)Instructions burned: 3 (million)
% 0.10/0.45 % (12319)------------------------------
% 0.10/0.45 % (12319)------------------------------
% 0.10/0.46 % (12317)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)
% 0.10/0.46 % (12316)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)
% 0.10/0.46 % (12322)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)
% 0.10/0.46 TRYING [1]
% 0.10/0.46 % (12315)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.46 TRYING [2]
% 0.10/0.46 % (12318)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.46 TRYING [3]
% 0.10/0.46 % (12328)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.10/0.46 TRYING [1]
% 0.10/0.46 TRYING [2]
% 0.10/0.46 % (12334)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)
% 0.10/0.47 % (12321)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.47 % (12327)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)
% 0.10/0.47 % (12326)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)
% 0.10/0.47 % (12338)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)
% 0.10/0.47 % (12330)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)
% 0.10/0.47 TRYING [3]
% 0.10/0.47 % (12336)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.10/0.48 % (12318)Instruction limit reached!
% 0.10/0.48 % (12318)------------------------------
% 0.10/0.48 % (12318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48 TRYING [3]
% 0.10/0.49 TRYING [4]
% 0.10/0.49 % (12313)Instruction limit reached!
% 0.10/0.49 % (12313)------------------------------
% 0.10/0.49 % (12313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49 % (12318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49 % (12318)Termination reason: Unknown
% 0.10/0.49 % (12318)Termination phase: Saturation
% 0.10/0.49
% 0.10/0.49 % (12318)Memory used [KB]: 5500
% 0.10/0.49 % (12318)Time elapsed: 0.170 s
% 0.10/0.49 % (12318)Instructions burned: 9 (million)
% 0.10/0.49 % (12318)------------------------------
% 0.10/0.49 % (12318)------------------------------
% 0.10/0.50 % (12340)First to succeed.
% 0.10/0.50 % (12340)Refutation found. Thanks to Tanya!
% 0.10/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.50 % (12340)------------------------------
% 0.10/0.50 % (12340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50 % (12340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50 % (12340)Termination reason: Refutation
% 0.10/0.50
% 0.10/0.50 % (12340)Memory used [KB]: 5884
% 0.10/0.50 % (12340)Time elapsed: 0.167 s
% 0.10/0.50 % (12340)Instructions burned: 40 (million)
% 0.10/0.50 % (12340)------------------------------
% 0.10/0.50 % (12340)------------------------------
% 0.10/0.50 % (12310)Success in time 0.236 s
%------------------------------------------------------------------------------