%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:35:49 AM UTC 2026
% Result : Unsatisfiable 7.99s 2.11s
% Output : Refutation 7.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 17 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',distributivity5) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f23,negated_conjecture,
~ product(x,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equations) ).
fof(f41,plain,
~ sum(additive_identity,multiply(x,additive_identity),additive_identity),
inference(unit_resulting_resolution,[],[f13,f2,f5,f6,f23]) ).
fof(f1586,plain,
$false,
inference(unit_resulting_resolution,[],[f9,f20,f6,f20,f2,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n007.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 21:01:26 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 Running first-order theorem proving
% 0.10/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.99/2.11 % (2819801)Input is clausal, will run a generic CNF schedule.
% 7.99/2.11 % (2819825)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4142360148:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.99/2.11 % (2819823)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=4204900647:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.99/2.11 % (2819827)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2074612312:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.99/2.11 % (2819824)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=569802812:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.99/2.11 % (2819828)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3546381649:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.99/2.11 % (2819826)lrs+10_1_sil=8000:sp=occurrence:random_seed=1467054038:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.99/2.11 % (2819829)dis-21_1_sil=8000:lcm=predicate:random_seed=4000849890: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)
% 7.99/2.11 % (2819827)Instruction limit reached!
% 7.99/2.11 % (2819827)------------------------------
% 7.99/2.11 % (2819827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.11 % (2819827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.11 % (2819827)CaDiCaL version: 2.1.3
% 7.99/2.11 % (2819827)Termination reason: Instruction limit
% 7.99/2.11 % (2819827)Termination phase: Saturation
% 7.99/2.11 % (2819827)Time elapsed: 0.092 s
% 7.99/2.11 % (2819827)Peak memory usage: 88 MB
% 7.99/2.11 % (2819827)Instructions burned: 114 (million)
% 7.99/2.11 % (2819829)Instruction limit reached!
% 7.99/2.11 % (2819829)------------------------------
% 7.99/2.11 % (2819829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.11 % (2819829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.11 % (2819829)CaDiCaL version: 2.1.3
% 7.99/2.11 % (2819829)Termination reason: Instruction limit
% 7.99/2.11 % (2819829)Termination phase: Saturation
% 7.99/2.11 % (2819829)Time elapsed: 0.099 s
% 7.99/2.11 % (2819829)Peak memory usage: 87 MB
% 7.99/2.11 % (2819829)Instructions burned: 117 (million)
% 7.99/2.11 % (2819826)Instruction limit reached!
% 7.99/2.11 % (2819826)------------------------------
% 7.99/2.11 % (2819826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.11 % (2819826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.11 % (2819826)CaDiCaL version: 2.1.3
% 7.99/2.11 % (2819826)Termination reason: Instruction limit
% 7.99/2.11 % (2819826)Termination phase: Saturation
% 7.99/2.11 % (2819826)Time elapsed: 0.111 s
% 7.99/2.11 % (2819826)Peak memory usage: 88 MB
% 7.99/2.11 % (2819826)Instructions burned: 107 (million)
% 7.99/2.11 % (2819828)Instruction limit reached!
% 7.99/2.11 % (2819828)------------------------------
% 7.99/2.11 % (2819828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.11 % (2819828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.11 % (2819828)CaDiCaL version: 2.1.3
% 7.99/2.11 % (2819828)Termination reason: Instruction limit
% 7.99/2.11 % (2819828)Termination phase: Saturation
% 7.99/2.11 % (2819828)Time elapsed: 0.169 s
% 7.99/2.11 % (2819828)Peak memory usage: 88 MB
% 7.99/2.11 % (2819828)Instructions burned: 180 (million)
% 7.99/2.11 % (2819843)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2325203939:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 7.99/2.11 % (2819840)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=4263998366:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.99/2.11 % (2819840)Refutation not found, incomplete strategy
% 7.99/2.11 % (2819840)------------------------------
% 7.99/2.11 % (2819840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.11 % (2819840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.11 % (2819840)CaDiCaL version: 2.1.3
% 7.99/2.11 % (2819840)Termination reason: Refutation not found, incomplete strategy
% 7.99/2.11 % (2819840)Time elapsed: 0.002 s
% 7.99/2.11 % (2819840)Peak memory usage: 87 MB
% 7.99/2.11 % (2819840)Instructions burned: 1 (million)
% 7.99/2.11 % (2819842)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2634089567: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)
% 7.99/2.11 % (2819844)lrs+10_64_to=lpo:sil=8000:random_seed=2119464003:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.99/2.11 % (2819842)First to succeed.
% 7.99/2.11 % (2819842)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2819801"
% 7.99/2.11 % (2819843)Instruction limit reached!
% 7.99/2.11 % (2819843)------------------------------
% 7.99/2.11 % (2819843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.11 % (2819843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.11 % (2819843)CaDiCaL version: 2.1.3
% 7.99/2.11 % (2819843)Termination reason: Instruction limit
% 7.99/2.11 % (2819843)Termination phase: Saturation
% 7.99/2.11 % (2819843)Time elapsed: 0.184 s
% 7.99/2.11 % (2819843)Peak memory usage: 88 MB
% 7.99/2.11 % (2819843)Instructions burned: 219 (million)
% 7.99/2.11 % (2819844)Instruction limit reached!
% 7.99/2.11 % (2819844)------------------------------
% 7.99/2.11 % (2819844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.11 % (2819844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.11 % (2819844)CaDiCaL version: 2.1.3
% 7.99/2.11 % (2819844)Termination reason: Instruction limit
% 7.99/2.11 % (2819844)Termination phase: Saturation
% 7.99/2.11 % (2819844)Time elapsed: 0.124 s
% 7.99/2.11 % (2819844)Peak memory usage: 88 MB
% 7.99/2.11 % (2819844)Instructions burned: 126 (million)
% 7.99/2.11 % (2819851)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2175241706:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 7.99/2.11 % (2819840)------------------------------
% 7.99/2.11 % (2819840)------------------------------
% 7.99/2.11 % (2819853)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1636549398:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 7.99/2.11 % (2819842)Refutation found. Thanks to Tanya!
% 7.99/2.11 % SZS status Unsatisfiable for theBenchmark
% 7.99/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 7.99/2.11 % (2819842)------------------------------
% 7.99/2.11 % (2819842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.11 % (2819842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.11 % (2819842)CaDiCaL version: 2.1.3
% 7.99/2.11 % (2819842)Termination reason: Refutation
% 7.99/2.11 % (2819842)Time elapsed: 0.053 s
% 7.99/2.11 % (2819842)Peak memory usage: 88 MB
% 7.99/2.11 % (2819842)Instructions burned: 60 (million)
% 7.99/2.11 % (2819842)------------------------------
% 7.99/2.11 % (2819842)------------------------------
% 7.99/2.11 % (2819801)Success in time 1.01 s
% 7.99/2.11 % Vampire exiting
%------------------------------------------------------------------------------