%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO004-1 : 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 : n010.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 09:35:48 AM UTC 2026
% Result : Unsatisfiable 4.96s 1.49s
% Output : Refutation 4.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X2,X4,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X5,X6)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( product(X2,X4,X6)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ sum(X0,X5,X6)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity5) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f19,axiom,
! [X0] : product(inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f23,negated_conjecture,
~ sum(x,x,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_both_equalities) ).
fof(f32,plain,
~ product(multiplicative_identity,add(x,x),x),
inference(unit_resulting_resolution,[],[f9,f1,f7,f7,f23]) ).
fof(f975,plain,
$false,
inference(unit_resulting_resolution,[],[f13,f18,f19,f6,f1,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO004-1 : 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 : n010.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 21:03:33 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
% 4.96/1.49 % (2332714)Input is clausal, will run a generic CNF schedule.
% 4.96/1.49 % (2332821)lrs+10_1_sil=8000:sp=occurrence:random_seed=2400242192:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.96/1.49 % (2332821)Refutation not found, incomplete strategy
% 4.96/1.49 % (2332821)------------------------------
% 4.96/1.49 % (2332821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.49 % (2332821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.49 % (2332821)CaDiCaL version: 2.1.3
% 4.96/1.49 % (2332821)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.49 % (2332821)Time elapsed: 0.0000 s
% 4.96/1.49 % (2332821)Peak memory usage: 87 MB
% 4.96/1.49 % (2332820)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1836767466:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.96/1.49 % (2332818)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=293463143:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.96/1.49 % (2332819)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3953363723:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.96/1.49 % (2332823)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2066131115:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.96/1.49 % (2332822)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2031411:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.96/1.49 % (2332824)dis-21_1_sil=8000:lcm=predicate:random_seed=2543448937: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)
% 4.96/1.49 % (2332822)Instruction limit reached!
% 4.96/1.49 % (2332822)------------------------------
% 4.96/1.49 % (2332822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.49 % (2332822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.49 % (2332822)CaDiCaL version: 2.1.3
% 4.96/1.49 % (2332822)Termination reason: Instruction limit
% 4.96/1.49 % (2332822)Termination phase: Saturation
% 4.96/1.49 % (2332822)Time elapsed: 0.056 s
% 4.96/1.49 % (2332822)Peak memory usage: 87 MB
% 4.96/1.49 % (2332822)Instructions burned: 115 (million)
% 4.96/1.49 % (2332824)Instruction limit reached!
% 4.96/1.49 % (2332824)------------------------------
% 4.96/1.49 % (2332824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.49 % (2332824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.49 % (2332824)CaDiCaL version: 2.1.3
% 4.96/1.49 % (2332824)Termination reason: Instruction limit
% 4.96/1.49 % (2332824)Termination phase: Saturation
% 4.96/1.49 % (2332824)Time elapsed: 0.058 s
% 4.96/1.49 % (2332824)Peak memory usage: 88 MB
% 4.96/1.49 % (2332824)Instructions burned: 118 (million)
% 4.96/1.49 % (2332821)------------------------------
% 4.96/1.49 % (2332821)------------------------------
% 4.96/1.49 % (2332823)Instruction limit reached!
% 4.96/1.49 % (2332823)------------------------------
% 4.96/1.49 % (2332823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.49 % (2332823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.49 % (2332823)CaDiCaL version: 2.1.3
% 4.96/1.49 % (2332823)Termination reason: Instruction limit
% 4.96/1.49 % (2332823)Termination phase: Saturation
% 4.96/1.49 % (2332823)Time elapsed: 0.103 s
% 4.96/1.49 % (2332823)Peak memory usage: 88 MB
% 4.96/1.49 % (2332823)Instructions burned: 180 (million)
% 4.96/1.49 % (2332832)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=3901724511:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.96/1.49 % (2332835)lrs+10_64_to=lpo:sil=8000:random_seed=627095942:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.96/1.49 % (2332833)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=223208008:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.96/1.49 % (2332832)Refutation not found, incomplete strategy
% 4.96/1.49 % (2332832)------------------------------
% 4.96/1.49 % (2332832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.49 % (2332832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.49 % (2332832)CaDiCaL version: 2.1.3
% 4.96/1.49 % (2332832)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.49 % (2332832)Time elapsed: 0.001 s
% 4.96/1.49 % (2332832)Peak memory usage: 88 MB
% 4.96/1.49 % (2332832)Instructions burned: 1 (million)
% 4.96/1.49 % (2332833)First to succeed.
% 4.96/1.49 % (2332833)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2332714"
% 4.96/1.49 % (2332835)Instruction limit reached!
% 4.96/1.49 % (2332835)------------------------------
% 4.96/1.49 % (2332835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.49 % (2332835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.49 % (2332835)CaDiCaL version: 2.1.3
% 4.96/1.49 % (2332835)Termination reason: Instruction limit
% 4.96/1.49 % (2332835)Termination phase: Saturation
% 4.96/1.49 % (2332835)Time elapsed: 0.040 s
% 4.96/1.49 % (2332835)Peak memory usage: 88 MB
% 4.96/1.49 % (2332835)Instructions burned: 128 (million)
% 4.96/1.49 % (2332834)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2891681836:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.96/1.49 % (2332834)Refutation not found, incomplete strategy
% 4.96/1.49 % (2332834)------------------------------
% 4.96/1.49 % (2332834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.49 % (2332834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.49 % (2332834)CaDiCaL version: 2.1.3
% 4.96/1.49 % (2332834)Termination reason: Refutation not found, incomplete strategy
% 4.96/1.49 % (2332834)Time elapsed: 0.001 s
% 4.96/1.49 % (2332834)Peak memory usage: 87 MB
% 4.96/1.49 % (2332840)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=953949519:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.96/1.49 % (2332840)Instruction limit reached!
% 4.96/1.49 % (2332840)------------------------------
% 4.96/1.49 % (2332840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.49 % (2332840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.49 % (2332840)CaDiCaL version: 2.1.3
% 4.96/1.49 % (2332840)Termination reason: Instruction limit
% 4.96/1.49 % (2332840)Termination phase: Saturation
% 4.96/1.49 % (2332840)Time elapsed: 0.068 s
% 4.96/1.49 % (2332840)Peak memory usage: 88 MB
% 4.96/1.49 % (2332840)Instructions burned: 197 (million)
% 4.96/1.49 % (2332832)------------------------------
% 4.96/1.49 % (2332832)------------------------------
% 4.96/1.49 % (2332833)Refutation found. Thanks to Tanya!
% 4.96/1.49 % SZS status Unsatisfiable for theBenchmark
% 4.96/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 4.96/1.49 % (2332833)------------------------------
% 4.96/1.49 % (2332833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.49 % (2332833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.49 % (2332833)CaDiCaL version: 2.1.3
% 4.96/1.49 % (2332833)Termination reason: Refutation
% 4.96/1.49 % (2332833)Time elapsed: 0.023 s
% 4.96/1.49 % (2332833)Peak memory usage: 88 MB
% 4.96/1.49 % (2332833)Instructions burned: 40 (million)
% 4.96/1.49 % (2332833)------------------------------
% 4.96/1.49 % (2332833)------------------------------
% 4.96/1.49 % (2332714)Success in time 0.609 s
% 4.96/1.49 % Vampire exiting
%------------------------------------------------------------------------------