%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG040-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:35:50 PM UTC 2026
% Result : Unsatisfiable 0.41s 0.54s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 23 ( 9 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X5,X1,X6)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity3) ).
fof(f25,negated_conjecture,
sum(b,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_c) ).
fof(f26,negated_conjecture,
product(d,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_plus_a) ).
fof(f27,negated_conjecture,
product(b,a,l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_a) ).
fof(f28,negated_conjecture,
product(c,a,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_plus_a) ).
fof(f29,negated_conjecture,
~ sum(l,n,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
fof(f35,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X3,X5)
| product(X3,X1,X4)
| product(X0,X1,X2)
| product(X5,X1,X6)
| sum(X2,X4,X6) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f43,plain,
~ product(d,a,additive_identity),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f44,plain,
~ product(b,a,l),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f45,plain,
~ product(c,a,n),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( product(c,X0,X1)
| product(b,X0,X2)
| product(d,X0,X3)
| sum(X2,X1,X3) ),
inference(resolution,[],[f35,f25]) ).
fof(f216,plain,
! [X0] :
( product(d,X0,additive_identity)
| product(b,X0,l)
| product(c,X0,n) ),
inference(resolution,[],[f121,f29]) ).
fof(f1975,plain,
( product(b,a,l)
| product(c,a,n) ),
inference(resolution,[],[f216,f43]) ).
fof(f1976,plain,
product(c,a,n),
inference(forward_subsumption_resolution,[],[f1975,f44]) ).
fof(f1977,plain,
$false,
inference(forward_subsumption_resolution,[],[f1976,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG040-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:02:54 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.54 % (1713344)Will run a generic schedule for satisfiability detection.
% 0.41/0.54 % (1713361)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2911754821:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.41/0.54 % (1713356)% WARNING: option uhcvi not known.
% 0.41/0.54 % (1713359)dis+10_1_sil=32000:sp=arity:random_seed=1114159010:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.41/0.54 % (1713357)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3256253009:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.41/0.54 % (1713356)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=973536412:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.41/0.54 % (1713355)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1164144144_2999 on theBenchmark for (2999ds/0Mi)
% 0.41/0.54 % (1713360)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=208906346:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.41/0.54 % (1713362)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3469356760:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.41/0.54 % TRYING [1]
% 0.41/0.54 % TRYING [2]
% 0.41/0.54 % TRYING [3]
% 0.41/0.54 % TRYING [4]
% 0.41/0.54 % (1713361)Instruction limit reached!
% 0.41/0.54 % (1713361)------------------------------
% 0.41/0.54 % (1713361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.54 % (1713361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.54 % (1713361)CaDiCaL version: 2.1.3
% 0.41/0.54 % (1713361)Termination reason: Instruction limit
% 0.41/0.54 % (1713361)Termination phase: Saturation
% 0.41/0.54 % (1713361)Time elapsed: 0.042 s
% 0.41/0.54 % (1713361)Peak memory usage: 12 MB
% 0.41/0.54 % (1713361)Instructions burned: 132 (million)
% 0.41/0.54 % TRYING [5]
% 0.41/0.54 % (1713385)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1794544724:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.41/0.54 % TRYING [1]
% 0.41/0.54 % TRYING [2]
% 0.41/0.54 % TRYING [3]
% 0.41/0.54 % TRYING [4]
% 0.41/0.54 % (1713359)Instruction limit reached!
% 0.41/0.54 % (1713359)------------------------------
% 0.41/0.54 % (1713359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.54 % (1713359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.54 % (1713359)CaDiCaL version: 2.1.3
% 0.41/0.54 % (1713359)Termination reason: Instruction limit
% 0.41/0.54 % (1713359)Termination phase: Saturation
% 0.41/0.54 % (1713359)Time elapsed: 0.065 s
% 0.41/0.54 % (1713359)Peak memory usage: 11 MB
% 0.41/0.54 % (1713359)Instructions burned: 104 (million)
% 0.41/0.54 % (1713360)Instruction limit reached!
% 0.41/0.54 % (1713360)------------------------------
% 0.41/0.54 % (1713360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.54 % (1713360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.54 % (1713360)CaDiCaL version: 2.1.3
% 0.41/0.54 % (1713360)Termination reason: Instruction limit
% 0.41/0.54 % (1713360)Termination phase: Saturation
% 0.41/0.54 % (1713360)Time elapsed: 0.064 s
% 0.41/0.54 % (1713360)Peak memory usage: 11 MB
% 0.41/0.54 % (1713360)Instructions burned: 117 (million)
% 0.41/0.54 % (1713356) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1713344-1713356"...
% 0.41/0.54 % (1713356)...printing done.
% 0.41/0.54 % (1713356)Refutation found. Thanks to Tanya!
% 0.41/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.41/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.41/0.54 % (1713356)------------------------------
% 0.41/0.54 % (1713356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.54 % (1713356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.54 % (1713356)CaDiCaL version: 2.1.3
% 0.41/0.54 % (1713356)Termination reason: Refutation
% 0.41/0.54 % (1713356)Time elapsed: 0.072 s
% 0.41/0.54 % (1713356)Peak memory usage: 12 MB
% 0.41/0.54 % (1713356)Instructions burned: 121 (million)
% 0.41/0.54 % (1713344)Success in time 0.116 s
% 0.41/0.54 % Vampire exiting
%------------------------------------------------------------------------------