%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO012-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:35:51 AM UTC 2026
% Result : Unsatisfiable 9.41s 2.25s
% Output : Refutation 9.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 24 ( 3 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X0,X5,X6)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ product(X2,X4,X6)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity6) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( product(X2,X4,X6)
| ~ sum(X3,X1,X4)
| ~ product(X0,X3,X5)
| ~ sum(X5,X1,X6)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity7) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f19,axiom,
! [X0] : product(inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f23,negated_conjecture,
inverse(inverse(x)) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
fof(f24,plain,
x != inverse(inverse(x)),
inference(reorient_equations,[],[f23]) ).
fof(f27,plain,
~ sum(inverse(inverse(x)),additive_identity,x),
inference(unit_resulting_resolution,[],[f21,f6,f24]) ).
fof(f173,plain,
~ product(add(inverse(inverse(x)),x),multiplicative_identity,x),
inference(unit_resulting_resolution,[],[f14,f1,f20,f17,f27]) ).
fof(f3990,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f5,f17,f19,f1,f173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO012-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n001.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:09:49 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.41/2.25 % (750047)Input is clausal, will run a generic CNF schedule.
% 9.41/2.25 % (750172)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4137674658:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.41/2.25 % (750173)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3134332791:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.41/2.25 % (750175)lrs+10_1_sil=8000:sp=occurrence:random_seed=1146879590:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.41/2.25 % (750176)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=408334143:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.41/2.25 % (750174)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3811519853:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.41/2.25 % (750177)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3373095809:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.41/2.25 % (750178)dis-21_1_sil=8000:lcm=predicate:random_seed=284776613:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 9.41/2.25 % (750176)Instruction limit reached!
% 9.41/2.25 % (750176)------------------------------
% 9.41/2.25 % (750176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.25 % (750176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.25 % (750176)CaDiCaL version: 2.1.3
% 9.41/2.25 % (750176)Termination reason: Instruction limit
% 9.41/2.25 % (750176)Termination phase: Saturation
% 9.41/2.25 % (750176)Time elapsed: 0.109 s
% 9.41/2.25 % (750176)Peak memory usage: 88 MB
% 9.41/2.25 % (750176)Instructions burned: 115 (million)
% 9.41/2.25 % (750175)Instruction limit reached!
% 9.41/2.25 % (750175)------------------------------
% 9.41/2.25 % (750175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.25 % (750175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.25 % (750175)CaDiCaL version: 2.1.3
% 9.41/2.25 % (750175)Termination reason: Instruction limit
% 9.41/2.25 % (750175)Termination phase: Saturation
% 9.41/2.25 % (750175)Time elapsed: 0.113 s
% 9.41/2.25 % (750175)Peak memory usage: 88 MB
% 9.41/2.25 % (750175)Instructions burned: 107 (million)
% 9.41/2.25 % (750178)Instruction limit reached!
% 9.41/2.25 % (750178)------------------------------
% 9.41/2.25 % (750178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.25 % (750178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.25 % (750178)CaDiCaL version: 2.1.3
% 9.41/2.25 % (750178)Termination reason: Instruction limit
% 9.41/2.25 % (750178)Termination phase: Saturation
% 9.41/2.25 % (750178)Time elapsed: 0.105 s
% 9.41/2.25 % (750178)Peak memory usage: 88 MB
% 9.41/2.25 % (750178)Instructions burned: 122 (million)
% 9.41/2.25 % (750177)Instruction limit reached!
% 9.41/2.25 % (750177)------------------------------
% 9.41/2.25 % (750177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.25 % (750177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.25 % (750177)CaDiCaL version: 2.1.3
% 9.41/2.25 % (750177)Termination reason: Instruction limit
% 9.41/2.25 % (750177)Termination phase: Saturation
% 9.41/2.25 % (750177)Time elapsed: 0.167 s
% 9.41/2.25 % (750177)Peak memory usage: 89 MB
% 9.41/2.25 % (750177)Instructions burned: 180 (million)
% 9.41/2.25 % (750194)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=345181029:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 9.41/2.25 % (750192)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1789745575:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 9.41/2.25 % (750193)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1865449261:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 9.41/2.25 % (750194)Refutation not found, incomplete strategy
% 9.41/2.25 % (750194)------------------------------
% 9.41/2.25 % (750194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.25 % (750194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.25 % (750192)Refutation not found, incomplete strategy
% 9.41/2.25 % (750192)------------------------------
% 9.41/2.25 % (750192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.25 % (750194)CaDiCaL version: 2.1.3
% 9.41/2.25 % (750194)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.25 % (750194)Time elapsed: 0.002 s
% 9.41/2.25 % (750194)Peak memory usage: 87 MB
% 9.41/2.25 % (750192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.25 % (750192)CaDiCaL version: 2.1.3
% 9.41/2.25 % (750192)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.25 % (750192)Time elapsed: 0.002 s
% 9.41/2.25 % (750192)Peak memory usage: 87 MB
% 9.41/2.25 % (750192)Instructions burned: 1 (million)
% 9.41/2.25 % (750195)lrs+10_64_to=lpo:sil=8000:random_seed=341494530:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 9.41/2.25 % (750193)First to succeed.
% 9.41/2.25 % (750193)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-750047"
% 9.41/2.25 % (750195)Instruction limit reached!
% 9.41/2.25 % (750195)------------------------------
% 9.41/2.25 % (750195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.25 % (750195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.25 % (750195)CaDiCaL version: 2.1.3
% 9.41/2.25 % (750195)Termination reason: Instruction limit
% 9.41/2.25 % (750195)Termination phase: Saturation
% 9.41/2.25 % (750195)Time elapsed: 0.129 s
% 9.41/2.25 % (750195)Peak memory usage: 88 MB
% 9.41/2.25 % (750195)Instructions burned: 127 (million)
% 9.41/2.25 % (750172)Also succeeded, but the first one will report.
% 9.41/2.25 % (750194)------------------------------
% 9.41/2.25 % (750194)------------------------------
% 9.41/2.25 % (750192)------------------------------
% 9.41/2.25 % (750192)------------------------------
% 9.41/2.25 % (750206)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3026166124:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 9.41/2.25 % (750193)Refutation found. Thanks to Tanya!
% 9.41/2.25 % SZS status Unsatisfiable for theBenchmark
% 9.41/2.25 % SZS output start Proof for theBenchmark
% See solution above
% 9.41/2.25 % (750193)------------------------------
% 9.41/2.25 % (750193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.25 % (750193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.25 % (750193)CaDiCaL version: 2.1.3
% 9.41/2.25 % (750193)Termination reason: Refutation
% 9.41/2.25 % (750193)Time elapsed: 0.156 s
% 9.41/2.25 % (750193)Peak memory usage: 89 MB
% 9.41/2.25 % (750193)Instructions burned: 173 (million)
% 9.41/2.25 % (750193)------------------------------
% 9.41/2.25 % (750193)------------------------------
% 9.41/2.25 % (750047)Success in time 1.215 s
% 9.41/2.25 % Vampire exiting
%------------------------------------------------------------------------------