%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG037-2 : 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 : n001.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 12:35:49 PM UTC 2026
% Result : Unsatisfiable 1.07s 0.63s
% Output : Refutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 12 unt; 1 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f19,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X5,X6)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f26,axiom,
! [X0] : product(X0,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f27,axiom,
product(a,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
fof(f28,axiom,
product(a,additive_inverse(b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b) ).
fof(f29,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( ~ product(a,X0,X1)
| ~ sum(b,X0,X2)
| ~ product(a,X2,X3)
| sum(d,X1,X3) ),
inference(resolution,[],[f19,f27]) ).
fof(f438,plain,
! [X0,X1] :
( ~ product(a,X0,X1)
| ~ sum(b,additive_inverse(b),X0)
| sum(d,c,X1) ),
inference(resolution,[],[f103,f28]) ).
fof(f2870,plain,
( ~ sum(b,additive_inverse(b),additive_identity)
| sum(d,c,additive_identity) ),
inference(resolution,[],[f438,f26]) ).
fof(f2878,definition,
( spl0_59
<=> sum(d,c,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f2880,plain,
( sum(d,c,additive_identity)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f2878]) ).
fof(f2889,plain,
sum(d,c,additive_identity),
inference(forward_subsumption_resolution,[],[f2870,f13]) ).
fof(f2916,plain,
spl0_59,
inference(avatar_split_clause,[],[f2889,f2878]) ).
fof(f2919,plain,
( sum(c,d,additive_identity)
| ~ spl0_59 ),
inference(resolution,[],[f2880,f16]) ).
fof(f2931,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f2919,f29]) ).
fof(f2932,plain,
~ spl0_59,
inference(avatar_contradiction_clause,[],[f2931]) ).
cnf(s78,plain,
spl0_59,
inference(sat_conversion,[],[f2916]) ).
cnf(s80,plain,
~ spl0_59,
inference(sat_conversion,[],[f2932]) ).
cnf(s81,plain,
$false,
inference(rat,[],[s78,s80]) ).
fof(f2933,plain,
$false,
inference(avatar_sat_refutation,[],[s81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG037-2 : 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 : n001.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 23:07:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.44 Running first-order model finding
% 0.10/0.44 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
% 1.07/0.63 % (4072410)Will run a generic schedule for satisfiability detection.
% 1.07/0.63 % (4072415)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=380179158_2999 on theBenchmark for (2999ds/0Mi)
% 1.07/0.63 % TRYING [1]
% 1.07/0.63 % TRYING [2]
% 1.07/0.63 % TRYING [3]
% 1.07/0.63 % (4072416)% WARNING: option uhcvi not known.
% 1.07/0.63 % (4072417)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1770906660:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.07/0.63 % (4072416)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3802960841:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.07/0.63 % (4072418)dis+10_1_sil=32000:sp=arity:random_seed=2495871294:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.07/0.63 % (4072419)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4174528583:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.07/0.63 % TRYING [4]
% 1.07/0.63 % (4072420)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3606773317:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.07/0.63 % (4072421)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2248231360:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.07/0.63 % TRYING [5]
% 1.07/0.63 % (4072419)Instruction limit reached!
% 1.07/0.63 % (4072419)------------------------------
% 1.07/0.63 % (4072419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.63 % (4072419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.63 % (4072419)CaDiCaL version: 2.1.3
% 1.07/0.63 % (4072419)Termination reason: Instruction limit
% 1.07/0.63 % (4072419)Termination phase: Saturation
% 1.07/0.63 % (4072419)Time elapsed: 0.100 s
% 1.07/0.63 % (4072419)Peak memory usage: 11 MB
% 1.07/0.63 % (4072419)Instructions burned: 117 (million)
% 1.07/0.63 % (4072418)Instruction limit reached!
% 1.07/0.63 % (4072418)------------------------------
% 1.07/0.63 % (4072418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.63 % (4072418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.63 % (4072418)CaDiCaL version: 2.1.3
% 1.07/0.63 % (4072418)Termination reason: Instruction limit
% 1.07/0.63 % (4072418)Termination phase: Saturation
% 1.07/0.63 % (4072418)Time elapsed: 0.102 s
% 1.07/0.63 % (4072418)Peak memory usage: 11 MB
% 1.07/0.63 % (4072418)Instructions burned: 103 (million)
% 1.07/0.63 % (4072420) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4072410-4072420"...
% 1.07/0.63 % (4072420)...printing done.
% 1.07/0.63 % (4072420)Refutation found. Thanks to Tanya!
% 1.07/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.07/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.07/0.63 % (4072420)------------------------------
% 1.07/0.63 % (4072420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.63 % (4072420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.63 % (4072420)CaDiCaL version: 2.1.3
% 1.07/0.63 % (4072420)Termination reason: Refutation
% 1.07/0.63 % (4072420)Time elapsed: 0.106 s
% 1.07/0.63 % (4072420)Peak memory usage: 13 MB
% 1.07/0.63 % (4072420)Instructions burned: 102 (million)
% 1.07/0.63 % (4072410)Success in time 0.175 s
% 1.07/0.63 % Vampire exiting
%------------------------------------------------------------------------------