TSTP Solution File: BOO012-4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : BOO012-4 : TPTP v8.1.0. Released v1.1.0.
% 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 : n023.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 15:50:08 EDT 2022
% Result : Unsatisfiable 1.48s 0.55s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f304,plain,
$false,
inference(subsumption_resolution,[],[f9,f302]) ).
fof(f302,plain,
! [X10] : inverse(inverse(X10)) = X10,
inference(forward_demodulation,[],[f293,f69]) ).
fof(f69,plain,
! [X1] : add(X1,inverse(inverse(X1))) = X1,
inference(forward_demodulation,[],[f55,f5]) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
fof(f55,plain,
! [X1] : add(X1,additive_identity) = add(X1,inverse(inverse(X1))),
inference(superposition,[],[f49,f8]) ).
fof(f8,axiom,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f49,plain,
! [X2,X3] : add(X2,X3) = add(X2,multiply(inverse(X2),X3)),
inference(forward_demodulation,[],[f35,f22]) ).
fof(f22,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[],[f2,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f35,plain,
! [X2,X3] : add(X2,multiply(inverse(X2),X3)) = multiply(multiplicative_identity,add(X2,X3)),
inference(superposition,[],[f3,f7]) ).
fof(f7,axiom,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f3,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f293,plain,
! [X10] : inverse(inverse(X10)) = add(X10,inverse(inverse(X10))),
inference(superposition,[],[f192,f268]) ).
fof(f268,plain,
! [X15] : multiply(X15,inverse(inverse(X15))) = X15,
inference(forward_demodulation,[],[f255,f6]) ).
fof(f255,plain,
! [X15] : multiply(X15,multiplicative_identity) = multiply(X15,inverse(inverse(X15))),
inference(superposition,[],[f146,f7]) ).
fof(f146,plain,
! [X2,X3] : multiply(X2,X3) = multiply(X2,add(inverse(X2),X3)),
inference(forward_demodulation,[],[f127,f10]) ).
fof(f10,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(superposition,[],[f1,f5]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f127,plain,
! [X2,X3] : multiply(X2,add(inverse(X2),X3)) = add(additive_identity,multiply(X2,X3)),
inference(superposition,[],[f4,f8]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f192,plain,
! [X0,X1] : add(multiply(X1,X0),X0) = X0,
inference(superposition,[],[f154,f2]) ).
fof(f154,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f153,f6]) ).
fof(f153,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(multiply(X0,X1),X0),
inference(forward_demodulation,[],[f132,f70]) ).
fof(f70,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[],[f54,f7]) ).
fof(f54,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(superposition,[],[f49,f6]) ).
fof(f132,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = multiply(X0,add(X1,multiplicative_identity)),
inference(superposition,[],[f4,f6]) ).
fof(f9,axiom,
x != inverse(inverse(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO012-4 : TPTP v8.1.0. Released v1.1.0.
% 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
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 16:27:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (14436)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (14440)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)
% 0.20/0.50 % (14433)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (14446)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.31/0.51 % (14454)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.31/0.51 % (14436)Instruction limit reached!
% 1.31/0.51 % (14436)------------------------------
% 1.31/0.51 % (14436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.51 % (14436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.51 % (14436)Termination reason: Unknown
% 1.31/0.51 % (14436)Termination phase: Saturation
% 1.31/0.51
% 1.31/0.51 % (14436)Memory used [KB]: 5500
% 1.31/0.51 % (14436)Time elapsed: 0.116 s
% 1.31/0.51 % (14436)Instructions burned: 7 (million)
% 1.31/0.51 % (14436)------------------------------
% 1.31/0.51 % (14436)------------------------------
% 1.31/0.51 TRYING [1]
% 1.31/0.51 TRYING [2]
% 1.31/0.52 % (14430)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)
% 1.31/0.52 % (14429)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)
% 1.31/0.52 TRYING [3]
% 1.31/0.52 TRYING [1]
% 1.31/0.52 % (14432)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)
% 1.31/0.52 TRYING [2]
% 1.31/0.52 % (14434)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)
% 1.31/0.52 TRYING [3]
% 1.31/0.52 % (14452)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)
% 1.31/0.52 % (14457)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.31/0.52 % (14443)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)
% 1.31/0.52 % (14431)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)
% 1.31/0.52 TRYING [4]
% 1.31/0.53 % (14458)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)
% 1.31/0.53 % (14455)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)
% 1.48/0.53 % (14453)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.48/0.53 % (14456)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)
% 1.48/0.53 % (14435)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)
% 1.48/0.53 TRYING [1]
% 1.48/0.53 TRYING [2]
% 1.48/0.53 % (14447)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.48/0.53 TRYING [3]
% 1.48/0.53 % (14450)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.48/0.53 % (14444)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)
% 1.48/0.53 % (14441)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.48/0.53 % (14445)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)
% 1.48/0.53 % (14448)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)
% 1.48/0.53 % (14451)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)
% 1.48/0.54 TRYING [4]
% 1.48/0.54 % (14437)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.48/0.54 % (14442)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.48/0.54 % (14437)Instruction limit reached!
% 1.48/0.54 % (14437)------------------------------
% 1.48/0.54 % (14437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54 % (14437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54 % (14437)Termination reason: Unknown
% 1.48/0.54 % (14437)Termination phase: Saturation
% 1.48/0.54
% 1.48/0.54 % (14437)Memory used [KB]: 5373
% 1.48/0.54 % (14437)Time elapsed: 0.144 s
% 1.48/0.54 % (14437)Instructions burned: 3 (million)
% 1.48/0.54 % (14437)------------------------------
% 1.48/0.54 % (14437)------------------------------
% 1.48/0.54 % (14449)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)
% 1.48/0.54 % (14439)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.48/0.54 % (14438)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)
% 1.48/0.55 % (14434)First to succeed.
% 1.48/0.55 % (14434)Refutation found. Thanks to Tanya!
% 1.48/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.48/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.55 % (14434)------------------------------
% 1.48/0.55 % (14434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55 % (14434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55 % (14434)Termination reason: Refutation
% 1.48/0.55
% 1.48/0.55 % (14434)Memory used [KB]: 5628
% 1.48/0.55 % (14434)Time elapsed: 0.146 s
% 1.48/0.55 % (14434)Instructions burned: 16 (million)
% 1.48/0.55 % (14434)------------------------------
% 1.48/0.55 % (14434)------------------------------
% 1.48/0.55 % (14428)Success in time 0.2 s
%------------------------------------------------------------------------------