TSTP Solution File: RNG020-7 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG020-7 : 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 : n022.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 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
$false,
inference(trivial_inequality_removal,[],[f51]) ).
fof(f51,plain,
add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)))) != add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)))),
inference(backward_demodulation,[],[f42,f50]) ).
fof(f50,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[],[f43,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f43,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X1,X0),X2),
inference(superposition,[],[f11,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f42,plain,
add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),add(multiply(multiply(x,u),y),multiply(multiply(x,v),y)))) != add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y)))),
inference(forward_demodulation,[],[f41,f9]) ).
fof(f9,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(f41,plain,
add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),multiply(add(multiply(x,u),multiply(x,v)),y))) != add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y)))),
inference(backward_demodulation,[],[f37,f8]) ).
fof(f8,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(f37,plain,
add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,add(u,v)),y))) != add(additive_inverse(multiply(x,multiply(u,y))),add(multiply(multiply(x,u),y),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y)))),
inference(forward_demodulation,[],[f36,f11]) ).
fof(f36,plain,
add(add(additive_inverse(multiply(x,multiply(u,y))),multiply(multiply(x,u),y)),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y))) != add(additive_inverse(multiply(x,multiply(u,y))),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,add(u,v)),y))),
inference(backward_demodulation,[],[f35,f11]) ).
fof(f35,plain,
add(add(additive_inverse(multiply(x,multiply(u,y))),multiply(multiply(x,u),y)),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y))) != add(add(additive_inverse(multiply(x,multiply(u,y))),additive_inverse(multiply(x,multiply(v,y)))),multiply(multiply(x,add(u,v)),y)),
inference(backward_demodulation,[],[f31,f34]) ).
fof(f34,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))) = additive_inverse(multiply(X0,add(X1,X2))),
inference(forward_demodulation,[],[f21,f17]) ).
fof(f17,axiom,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_product1) ).
fof(f21,axiom,
! [X2,X0,X1] : multiply(additive_inverse(X0),add(X1,X2)) = add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_of_difference3) ).
fof(f31,plain,
add(add(additive_inverse(multiply(x,multiply(u,y))),multiply(multiply(x,u),y)),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y))) != add(additive_inverse(multiply(x,add(multiply(u,y),multiply(v,y)))),multiply(multiply(x,add(u,v)),y)),
inference(backward_demodulation,[],[f27,f9]) ).
fof(f27,plain,
add(add(additive_inverse(multiply(x,multiply(u,y))),multiply(multiply(x,u),y)),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y))) != add(additive_inverse(multiply(x,multiply(add(u,v),y))),multiply(multiply(x,add(u,v)),y)),
inference(forward_demodulation,[],[f26,f10]) ).
fof(f26,plain,
add(additive_inverse(multiply(x,multiply(add(u,v),y))),multiply(multiply(x,add(u,v)),y)) != add(add(multiply(multiply(x,u),y),additive_inverse(multiply(x,multiply(u,y)))),add(additive_inverse(multiply(x,multiply(v,y))),multiply(multiply(x,v),y))),
inference(forward_demodulation,[],[f25,f10]) ).
fof(f25,plain,
add(add(multiply(multiply(x,u),y),additive_inverse(multiply(x,multiply(u,y)))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y))))) != add(additive_inverse(multiply(x,multiply(add(u,v),y))),multiply(multiply(x,add(u,v)),y)),
inference(forward_demodulation,[],[f24,f10]) ).
fof(f24,plain,
add(add(multiply(multiply(x,u),y),additive_inverse(multiply(x,multiply(u,y)))),add(multiply(multiply(x,v),y),additive_inverse(multiply(x,multiply(v,y))))) != add(multiply(multiply(x,add(u,v)),y),additive_inverse(multiply(x,multiply(add(u,v),y)))),
inference(definition_unfolding,[],[f23,f14,f14,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/sandbox/benchmark/theBenchmark.p',associator) ).
fof(f23,axiom,
associator(x,add(u,v),y) != add(associator(x,u,y),associator(x,v,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_linearised_form2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG020-7 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 11:46:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.47 % (13119)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)
% 0.20/0.49 % (13125)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.49 TRYING [1]
% 0.20/0.49 TRYING [2]
% 0.20/0.49 % (13133)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50 % (13121)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 TRYING [3]
% 0.20/0.50 % (13120)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50 % (13118)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (13130)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)
% 0.20/0.51 % (13122)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)
% 0.20/0.51 % (13108)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)
% 0.20/0.51 % (13116)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (13116)Instruction limit reached!
% 0.20/0.51 % (13116)------------------------------
% 0.20/0.51 % (13116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (13116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (13116)Termination reason: Unknown
% 0.20/0.51 % (13116)Termination phase: Property scanning
% 0.20/0.51
% 0.20/0.51 % (13116)Memory used [KB]: 895
% 0.20/0.51 % (13116)Time elapsed: 0.003 s
% 0.20/0.51 % (13116)Instructions burned: 2 (million)
% 0.20/0.51 % (13116)------------------------------
% 0.20/0.51 % (13116)------------------------------
% 0.20/0.51 % (13113)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)
% 0.20/0.51 % (13109)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)
% 0.20/0.51 % (13111)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)
% 0.20/0.51 % (13114)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)
% 0.20/0.51 % (13110)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)
% 0.20/0.52 % (13112)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (13117)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)
% 0.20/0.52 % (13131)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)
% 0.20/0.52 % (13131)First to succeed.
% 0.20/0.52 % (13132)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (13123)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)
% 0.20/0.53 % (13127)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)
% 0.20/0.53 % (13126)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (13124)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)
% 0.20/0.53 % (13137)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (13135)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)
% 0.20/0.53 % (13134)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)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (13136)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (13129)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (13128)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)
% 0.20/0.54 % (13115)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (13115)Instruction limit reached!
% 0.20/0.54 % (13115)------------------------------
% 0.20/0.54 % (13115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13131)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (13131)------------------------------
% 0.20/0.54 % (13131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13131)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (13131)Memory used [KB]: 5500
% 0.20/0.54 % (13131)Time elapsed: 0.130 s
% 0.20/0.54 % (13131)Instructions burned: 3 (million)
% 0.20/0.54 % (13131)------------------------------
% 0.20/0.54 % (13131)------------------------------
% 0.20/0.54 % (13106)Success in time 0.202 s
%------------------------------------------------------------------------------