%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO010-1 : 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 : n009.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 5.68s 1.48s
% Output : Refutation 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_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/sandbox/benchmark/theBenchmark.p',distributivity1) ).
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(f23,negated_conjecture,
~ sum(x,multiply(x,y),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equations) ).
fof(f29,plain,
~ sum(multiplicative_identity,y,multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f8,f8,f2,f23]) ).
fof(f75,plain,
~ product(multiplicative_identity,add(multiplicative_identity,y),multiplicative_identity),
inference(unit_resulting_resolution,[],[f9,f1,f7,f7,f29]) ).
fof(f4951,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f17,f8,f17,f1,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n009.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 21:03:45 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 5.68/1.48 % (3476056)Input is clausal, will run a generic CNF schedule.
% 5.68/1.48 % (3476064)lrs+10_1_sil=8000:sp=occurrence:random_seed=1405710956:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.68/1.48 % (3476064)Instruction limit reached!
% 5.68/1.48 % (3476064)------------------------------
% 5.68/1.48 % (3476064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.48 % (3476064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.48 % (3476064)CaDiCaL version: 2.1.3
% 5.68/1.48 % (3476064)Termination reason: Instruction limit
% 5.68/1.48 % (3476064)Termination phase: Saturation
% 5.68/1.48 % (3476064)Time elapsed: 0.028 s
% 5.68/1.48 % (3476064)Peak memory usage: 87 MB
% 5.68/1.48 % (3476064)Instructions burned: 108 (million)
% 5.68/1.48 % (3476067)dis-21_1_sil=8000:lcm=predicate:random_seed=1556591055: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)
% 5.68/1.48 % (3476062)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3624851629:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.68/1.48 % (3476065)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3072194914:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.68/1.48 % (3476063)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=891876204:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.68/1.48 % (3476061)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=2401308878:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.68/1.48 % (3476066)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=256699943:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.68/1.48 % (3476065)Instruction limit reached!
% 5.68/1.48 % (3476065)------------------------------
% 5.68/1.48 % (3476065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.48 % (3476065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.48 % (3476065)CaDiCaL version: 2.1.3
% 5.68/1.48 % (3476065)Termination reason: Instruction limit
% 5.68/1.48 % (3476065)Termination phase: Saturation
% 5.68/1.48 % (3476065)Time elapsed: 0.060 s
% 5.68/1.48 % (3476065)Peak memory usage: 87 MB
% 5.68/1.48 % (3476065)Instructions burned: 115 (million)
% 5.68/1.48 % (3476067)Instruction limit reached!
% 5.68/1.48 % (3476067)------------------------------
% 5.68/1.48 % (3476067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.48 % (3476067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.48 % (3476067)CaDiCaL version: 2.1.3
% 5.68/1.48 % (3476067)Termination reason: Instruction limit
% 5.68/1.48 % (3476067)Termination phase: Saturation
% 5.68/1.48 % (3476067)Time elapsed: 0.062 s
% 5.68/1.48 % (3476067)Peak memory usage: 88 MB
% 5.68/1.48 % (3476067)Instructions burned: 118 (million)
% 5.68/1.48 % (3476066)Instruction limit reached!
% 5.68/1.48 % (3476066)------------------------------
% 5.68/1.48 % (3476066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.48 % (3476066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.48 % (3476066)CaDiCaL version: 2.1.3
% 5.68/1.48 % (3476066)Termination reason: Instruction limit
% 5.68/1.48 % (3476066)Termination phase: Saturation
% 5.68/1.48 % (3476066)Time elapsed: 0.106 s
% 5.68/1.48 % (3476066)Peak memory usage: 88 MB
% 5.68/1.48 % (3476066)Instructions burned: 181 (million)
% 5.68/1.48 % (3476075)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=2198148997:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.68/1.48 % (3476075)Refutation not found, incomplete strategy
% 5.68/1.48 % (3476075)------------------------------
% 5.68/1.48 % (3476075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.48 % (3476075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.48 % (3476075)CaDiCaL version: 2.1.3
% 5.68/1.48 % (3476075)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.48 % (3476075)Time elapsed: 0.001 s
% 5.68/1.48 % (3476075)Peak memory usage: 88 MB
% 5.68/1.48 % (3476075)Instructions burned: 1 (million)
% 5.68/1.48 % (3476077)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1865945456:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.68/1.48 % (3476076)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4141598635: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)
% 5.68/1.48 % (3476077)Refutation not found, incomplete strategy
% 5.68/1.48 % (3476077)------------------------------
% 5.68/1.48 % (3476077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.48 % (3476077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.48 % (3476077)CaDiCaL version: 2.1.3
% 5.68/1.48 % (3476077)Termination reason: Refutation not found, incomplete strategy
% 5.68/1.48 % (3476077)Time elapsed: 0.001 s
% 5.68/1.48 % (3476077)Peak memory usage: 87 MB
% 5.68/1.48 % (3476075)------------------------------
% 5.68/1.48 % (3476075)------------------------------
% 5.68/1.48 % (3476078)lrs+10_64_to=lpo:sil=8000:random_seed=2515016181:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.68/1.48 % (3476076)First to succeed.
% 5.68/1.48 % (3476076)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3476056"
% 5.68/1.48 % (3476078)Instruction limit reached!
% 5.68/1.48 % (3476078)------------------------------
% 5.68/1.48 % (3476078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.48 % (3476078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.48 % (3476078)CaDiCaL version: 2.1.3
% 5.68/1.48 % (3476078)Termination reason: Instruction limit
% 5.68/1.48 % (3476078)Termination phase: Saturation
% 5.68/1.48 % (3476078)Time elapsed: 0.075 s
% 5.68/1.48 % (3476078)Peak memory usage: 88 MB
% 5.68/1.48 % (3476078)Instructions burned: 127 (million)
% 5.68/1.48 % (3476082)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2084086441:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.68/1.48 % (3476077)------------------------------
% 5.68/1.48 % (3476077)------------------------------
% 5.68/1.48 % (3476082)Instruction limit reached!
% 5.68/1.48 % (3476082)------------------------------
% 5.68/1.48 % (3476082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.48 % (3476082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.48 % (3476082)CaDiCaL version: 2.1.3
% 5.68/1.48 % (3476082)Termination reason: Instruction limit
% 5.68/1.48 % (3476082)Termination phase: Saturation
% 5.68/1.48 % (3476082)Time elapsed: 0.069 s
% 5.68/1.48 % (3476082)Peak memory usage: 88 MB
% 5.68/1.48 % (3476082)Instructions burned: 194 (million)
% 5.68/1.48 % (3476084)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3208545362:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.68/1.48 % (3476084)Also succeeded, but the first one will report.
% 5.68/1.48 % (3476076)Refutation found. Thanks to Tanya!
% 5.68/1.48 % SZS status Unsatisfiable for theBenchmark
% 5.68/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 5.68/1.48 % (3476076)------------------------------
% 5.68/1.48 % (3476076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.48 % (3476076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.48 % (3476076)CaDiCaL version: 2.1.3
% 5.68/1.48 % (3476076)Termination reason: Refutation
% 5.68/1.48 % (3476076)Time elapsed: 0.098 s
% 5.68/1.48 % (3476076)Peak memory usage: 89 MB
% 5.68/1.48 % (3476076)Instructions burned: 186 (million)
% 5.68/1.48 % (3476076)------------------------------
% 5.68/1.48 % (3476076)------------------------------
% 5.68/1.48 % (3476056)Success in time 0.733 s
% 5.68/1.48 % Vampire exiting
%------------------------------------------------------------------------------