%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG001-1 : 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 : n003.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 12:35:38 PM UTC 2026
% Result : Unsatisfiable 0.85s 0.88s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 39 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 41 ( 21 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',closure_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',left_inverse) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X4,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity1) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).
fof(f18,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_0_is_0) ).
fof(f24,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f16,f1]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(X2),X0,X3)
| ~ sum(X0,X1,X2)
| sum(X3,X1,additive_identity) ),
inference(resolution,[],[f8,f5]) ).
fof(f53,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X0,X4)) ),
inference(resolution,[],[f12,f3]) ).
fof(f159,plain,
! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,X1,additive_identity) ),
inference(resolution,[],[f45,f5]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f53,f3]) ).
fof(f946,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f187,f3]) ).
fof(f3500,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,multiply(X2,X1),additive_identity) ),
inference(resolution,[],[f946,f159]) ).
fof(f11201,plain,
! [X0] : sum(additive_identity,multiply(X0,additive_identity),additive_identity),
inference(resolution,[],[f3500,f2]) ).
fof(f11238,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[],[f11201,f24]) ).
fof(f11313,plain,
! [X0] : product(X0,additive_identity,additive_identity),
inference(superposition,[],[f3,f11238]) ).
fof(f11359,plain,
$false,
inference(backward_subsumption_resolution,[],[f18,f11313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.48 % Computer : n003.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sun Sep 27 22:59:26 UTC 2026
% 0.21/0.49 % CPUTime :
% 0.21/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.54 Running first-order model finding
% 0.26/0.54 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
% 0.85/0.88 % (1022532)Will run a generic schedule for satisfiability detection.
% 0.85/0.88 % (1022541)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2781473007:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.85/0.88 % (1022538)% WARNING: option uhcvi not known.
% 0.85/0.88 % (1022537)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1039720448_2999 on theBenchmark for (2999ds/0Mi)
% 0.85/0.88 % (1022543)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1291919381:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.85/0.88 % (1022540)dis+10_1_sil=32000:sp=arity:random_seed=607983175:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.85/0.88 % (1022539)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3667800713:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.85/0.88 % (1022538)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3038500552:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.85/0.88 % (1022542)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2000936289:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.85/0.88 % TRYING [1]
% 0.85/0.88 % TRYING [2]
% 0.85/0.88 % TRYING [3]
% 0.85/0.88 % TRYING [4]
% 0.85/0.88 % (1022541)Instruction limit reached!
% 0.85/0.88 % (1022541)------------------------------
% 0.85/0.88 % (1022541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.88 % (1022541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.88 % (1022541)CaDiCaL version: 2.1.3
% 0.85/0.88 % (1022541)Termination reason: Instruction limit
% 0.85/0.88 % (1022541)Termination phase: Saturation
% 0.85/0.88 % (1022541)Time elapsed: 0.051 s
% 0.85/0.88 % (1022541)Peak memory usage: 11 MB
% 0.85/0.88 % (1022541)Instructions burned: 116 (million)
% 0.85/0.88 % TRYING [5]
% 0.85/0.88 % (1022551)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2859890723:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.85/0.88 % TRYING [1]
% 0.85/0.88 % TRYING [2]
% 0.85/0.88 % TRYING [3]
% 0.85/0.88 % TRYING [4]
% 0.85/0.88 % (1022540)Instruction limit reached!
% 0.85/0.88 % (1022540)------------------------------
% 0.85/0.88 % (1022540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.88 % (1022540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.88 % (1022540)CaDiCaL version: 2.1.3
% 0.85/0.88 % (1022540)Termination reason: Instruction limit
% 0.85/0.88 % (1022540)Termination phase: Saturation
% 0.85/0.88 % (1022540)Time elapsed: 0.102 s
% 0.85/0.88 % (1022540)Peak memory usage: 11 MB
% 0.85/0.88 % (1022540)Instructions burned: 103 (million)
% 0.85/0.88 % TRYING [5]
% 0.85/0.88 % (1022542)Instruction limit reached!
% 0.85/0.88 % (1022542)------------------------------
% 0.85/0.88 % (1022542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.88 % (1022542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.88 % (1022542)CaDiCaL version: 2.1.3
% 0.85/0.88 % (1022542)Termination reason: Instruction limit
% 0.85/0.88 % (1022542)Termination phase: Saturation
% 0.85/0.88 % (1022542)Time elapsed: 0.133 s
% 0.85/0.88 % (1022542)Peak memory usage: 11 MB
% 0.85/0.88 % (1022542)Instructions burned: 131 (million)
% 0.85/0.88 % (1022543)Instruction limit reached!
% 0.85/0.88 % (1022543)------------------------------
% 0.85/0.88 % (1022543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.88 % (1022543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.88 % (1022543)CaDiCaL version: 2.1.3
% 0.85/0.88 % (1022543)Termination reason: Instruction limit
% 0.85/0.88 % (1022543)Termination phase: Saturation
% 0.85/0.88 % (1022543)Time elapsed: 0.141 s
% 0.85/0.88 % (1022543)Peak memory usage: 12 MB
% 0.85/0.88 % (1022543)Instructions burned: 160 (million)
% 0.85/0.88 % (1022553)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=189058858:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.85/0.88 % (1022554)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=409059012:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.85/0.88 % (1022555)ott-21_1_sil=16000:fs=off:random_seed=214667360:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.85/0.88 % TRYING [6]
% 0.85/0.88 % TRYING [6]
% 0.85/0.88 % (1022538) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1022532-1022538"...
% 0.85/0.88 % (1022538)...printing done.
% 0.85/0.88 % (1022538)Refutation found. Thanks to Tanya!
% 0.85/0.88 % SZS status Unsatisfiable for theBenchmark
% 0.85/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 0.85/0.88 % (1022538)------------------------------
% 0.85/0.88 % (1022538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.88 % (1022538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.88 % (1022538)CaDiCaL version: 2.1.3
% 0.85/0.88 % (1022538)Termination reason: Refutation
% 0.85/0.88 % (1022538)Time elapsed: 0.269 s
% 0.85/0.88 % (1022538)Peak memory usage: 13 MB
% 0.85/0.88 % (1022538)Instructions burned: 271 (million)
% 0.85/0.88 % (1022532)Success in time 0.322 s
% 0.85/0.88 % Vampire exiting
%------------------------------------------------------------------------------