%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:36:09 AM UTC 2026
% Result : Unsatisfiable 2.56s 0.69s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 35 ( 21 unt; 0 def)
% Number of atoms : 62 ( 8 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 55 ( 28 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',closure_of_addition) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X2,X4,X6)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ sum(X0,X1,X2)
| sum(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity6) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X2,X4,X6)
| ~ sum(X3,X1,X4)
| ~ product(X0,X3,X5)
| ~ sum(X0,X1,X2)
| sum(X5,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity8) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
fof(f23,negated_conjecture,
sum(x,y,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_to_multiplicative_identity1) ).
fof(f24,negated_conjecture,
sum(x,z,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_to_multiplicative_identity2) ).
fof(f25,negated_conjecture,
product(x,y,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_to_additive_identity1) ).
fof(f26,negated_conjecture,
product(x,z,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_to_additive_identity2) ).
fof(f27,negated_conjecture,
y != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_both_inverse_are_equal) ).
fof(f30,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f34,plain,
sum(z,x,multiplicative_identity),
inference(resolution,[],[f3,f24]) ).
fof(f40,plain,
product(y,x,additive_identity),
inference(resolution,[],[f4,f25]) ).
fof(f41,plain,
product(z,x,additive_identity),
inference(resolution,[],[f4,f26]) ).
fof(f45,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f6]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f21,f1]) ).
fof(f48,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f5]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,multiplicative_identity)
| ~ product(X2,X1,X3)
| ~ sum(X0,X2,X4)
| sum(X0,X3,X4) ),
inference(resolution,[],[f14,f8]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,multiplicative_identity)
| ~ product(X2,X0,X3)
| ~ sum(X2,X1,X4)
| sum(X3,X1,X4) ),
inference(resolution,[],[f16,f8]) ).
fof(f402,plain,
! [X2,X0,X1] :
( ~ sum(z,X0,X2)
| ~ product(X0,x,X1)
| sum(z,X1,X2) ),
inference(resolution,[],[f102,f34]) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ product(X0,x,X1)
| ~ sum(X0,y,X2)
| sum(X1,y,X2) ),
inference(resolution,[],[f129,f23]) ).
fof(f760,plain,
! [X0,X1] :
( ~ product(X0,x,X1)
| sum(z,X1,add(z,X0)) ),
inference(resolution,[],[f402,f1]) ).
fof(f840,plain,
! [X0] :
( ~ sum(z,y,X0)
| sum(additive_identity,y,X0) ),
inference(resolution,[],[f429,f41]) ).
fof(f3205,plain,
sum(additive_identity,y,add(y,z)),
inference(resolution,[],[f840,f30]) ).
fof(f3218,plain,
y = add(y,z),
inference(resolution,[],[f3205,f48]) ).
fof(f3259,plain,
sum(z,y,y),
inference(superposition,[],[f30,f3218]) ).
fof(f3324,plain,
y = add(z,y),
inference(resolution,[],[f3259,f47]) ).
fof(f6102,plain,
sum(z,additive_identity,add(z,y)),
inference(resolution,[],[f760,f40]) ).
fof(f6104,plain,
sum(z,additive_identity,y),
inference(forward_demodulation,[],[f6102,f3324]) ).
fof(f6114,plain,
y = z,
inference(resolution,[],[f6104,f45]) ).
fof(f6158,plain,
$false,
inference(forward_subsumption_resolution,[],[f6114,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.26 % Computer : n020.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 21:04:49 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.27/0.32 Running first-order model finding
% 0.27/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/0.69 % (557628)Will run a generic schedule for satisfiability detection.
% 2.56/0.69 % (557637)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1456493076:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.56/0.69 % (557638)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=126247365:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.56/0.69 % (557633)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4236829095_2999 on theBenchmark for (2999ds/0Mi)
% 2.56/0.69 % (557636)dis+10_1_sil=32000:sp=arity:random_seed=2965508421:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.56/0.69 % (557635)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3697652554:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.56/0.69 % (557639)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=83321830:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.56/0.69 % TRYING [1]
% 2.56/0.69 % TRYING [2]
% 2.56/0.69 % TRYING [3]
% 2.56/0.69 % (557634)% WARNING: option uhcvi not known.
% 2.56/0.69 % (557634)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=838667666:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.56/0.69 % TRYING [4]
% 2.56/0.69 % (557637)Instruction limit reached!
% 2.56/0.69 % (557637)------------------------------
% 2.56/0.69 % (557637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.69 % (557637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.69 % (557637)CaDiCaL version: 2.1.3
% 2.56/0.69 % (557637)Termination reason: Instruction limit
% 2.56/0.69 % (557637)Termination phase: Saturation
% 2.56/0.69 % (557637)Time elapsed: 0.050 s
% 2.56/0.69 % (557637)Peak memory usage: 12 MB
% 2.56/0.69 % (557637)Instructions burned: 116 (million)
% 2.56/0.69 % (557647)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2046712623:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.56/0.69 % TRYING [1]
% 2.56/0.69 % TRYING [2]
% 2.56/0.69 % TRYING [3]
% 2.56/0.69 % TRYING [4]
% 2.56/0.69 % TRYING [5]
% 2.56/0.69 % (557636)Instruction limit reached!
% 2.56/0.69 % (557636)------------------------------
% 2.56/0.69 % (557636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.69 % (557636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.69 % (557636)CaDiCaL version: 2.1.3
% 2.56/0.69 % (557636)Termination reason: Instruction limit
% 2.56/0.69 % (557636)Termination phase: Saturation
% 2.56/0.69 % (557636)Time elapsed: 0.105 s
% 2.56/0.69 % (557636)Peak memory usage: 12 MB
% 2.56/0.69 % (557636)Instructions burned: 103 (million)
% 2.56/0.69 % TRYING [5]
% 2.56/0.69 % (557638)Instruction limit reached!
% 2.56/0.69 % (557638)------------------------------
% 2.56/0.69 % (557638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.69 % (557638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.69 % (557638)CaDiCaL version: 2.1.3
% 2.56/0.69 % (557638)Termination reason: Instruction limit
% 2.56/0.69 % (557638)Termination phase: Saturation
% 2.56/0.69 % (557638)Time elapsed: 0.123 s
% 2.56/0.69 % (557638)Peak memory usage: 12 MB
% 2.56/0.69 % (557638)Instructions burned: 131 (million)
% 2.56/0.69 % (557649)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1964457670:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.56/0.69 % (557639)Instruction limit reached!
% 2.56/0.69 % (557639)------------------------------
% 2.56/0.69 % (557639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.69 % (557639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.69 % (557639)CaDiCaL version: 2.1.3
% 2.56/0.69 % (557639)Termination reason: Instruction limit
% 2.56/0.69 % (557639)Termination phase: Saturation
% 2.56/0.69 % (557639)Time elapsed: 0.155 s
% 2.56/0.69 % (557639)Peak memory usage: 12 MB
% 2.56/0.69 % (557639)Instructions burned: 159 (million)
% 2.56/0.69 % (557650)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2274472284:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.56/0.69 % (557652)ott-21_1_sil=16000:fs=off:random_seed=689946803:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.56/0.69 % TRYING [6]
% 2.56/0.69 % (557649)Instruction limit reached!
% 2.56/0.69 % (557649)------------------------------
% 2.56/0.69 % (557649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.69 % (557649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.69 % (557649)CaDiCaL version: 2.1.3
% 2.56/0.69 % (557649)Termination reason: Instruction limit
% 2.56/0.69 % (557649)Termination phase: Saturation
% 2.56/0.69 % (557649)Time elapsed: 0.137 s
% 2.56/0.69 % (557649)Peak memory usage: 13 MB
% 2.56/0.69 % (557649)Instructions burned: 131 (million)
% 2.56/0.69 % TRYING [6]
% 2.56/0.69 % (557634) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-557628-557634"...
% 2.56/0.69 % (557634)...printing done.
% 2.56/0.69 % (557634)Refutation found. Thanks to Tanya!
% 2.56/0.69 % SZS status Unsatisfiable for theBenchmark
% 2.56/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.56/0.69 % (557634)------------------------------
% 2.56/0.69 % (557634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.69 % (557634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.69 % (557634)CaDiCaL version: 2.1.3
% 2.56/0.69 % (557634)Termination reason: Refutation
% 2.56/0.69 % (557634)Time elapsed: 0.288 s
% 2.56/0.69 % (557634)Peak memory usage: 13 MB
% 2.56/0.69 % (557634)Instructions burned: 290 (million)
% 2.56/0.69 % (557628)Success in time 0.357 s
% 2.56/0.69 % Vampire exiting
%------------------------------------------------------------------------------