%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG005-2 : 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 : n026.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 12:35:40 PM UTC 2026
% Result : Unsatisfiable 0.85s 0.71s
% Output : Refutation 0.85s
% 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(f15,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f18,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f23,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/theBenchmark.p',distributivity3) ).
fof(f27,axiom,
! [X0] : product(additive_identity,X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f29,axiom,
product(a,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
fof(f30,axiom,
product(additive_inverse(a),b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b) ).
fof(f31,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,b,X1)
| ~ sum(a,X0,X2)
| ~ product(X2,b,X3)
| sum(d,X1,X3) ),
inference(resolution,[],[f23,f29]) ).
fof(f554,plain,
! [X0,X1] :
( ~ product(X0,b,X1)
| ~ sum(a,additive_inverse(a),X0)
| sum(d,c,X1) ),
inference(resolution,[],[f137,f30]) ).
fof(f3450,plain,
( ~ sum(a,additive_inverse(a),additive_identity)
| sum(d,c,additive_identity) ),
inference(resolution,[],[f554,f27]) ).
fof(f3467,plain,
sum(d,c,additive_identity),
inference(forward_subsumption_resolution,[],[f3450,f15]) ).
fof(f3471,definition,
( spl0_57
<=> sum(d,c,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f3473,plain,
( sum(d,c,additive_identity)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f3471]) ).
fof(f3502,plain,
spl0_57,
inference(avatar_split_clause,[],[f3467,f3471]) ).
fof(f3506,plain,
( sum(c,d,additive_identity)
| ~ spl0_57 ),
inference(resolution,[],[f3473,f18]) ).
fof(f3523,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f3506,f31]) ).
fof(f3524,plain,
~ spl0_57,
inference(avatar_contradiction_clause,[],[f3523]) ).
cnf(s83,plain,
spl0_57,
inference(sat_conversion,[],[f3502]) ).
cnf(s84,plain,
~ spl0_57,
inference(sat_conversion,[],[f3524]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s83,s84]) ).
fof(f3525,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.21/0.47 % Computer : n026.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 23:00:56 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.52 Running first-order model finding
% 0.26/0.53 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
% 0.85/0.71 % (3309907)Will run a generic schedule for satisfiability detection.
% 0.85/0.71 % (3309912)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1421649054_2999 on theBenchmark for (2999ds/0Mi)
% 0.85/0.71 % TRYING [1]
% 0.85/0.71 % TRYING [2]
% 0.85/0.71 % TRYING [3]
% 0.85/0.71 % (3309913)% WARNING: option uhcvi not known.
% 0.85/0.71 % TRYING [4]
% 0.85/0.71 % (3309916)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2127118584:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.85/0.71 % (3309917)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3051192796:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.85/0.71 % (3309914)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3912037848:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.85/0.71 % (3309915)dis+10_1_sil=32000:sp=arity:random_seed=89884178:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.85/0.71 % (3309913)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=21298731:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.85/0.71 % (3309918)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=872627059:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.85/0.71 % TRYING [5]
% 0.85/0.71 % (3309916)Instruction limit reached!
% 0.85/0.71 % (3309916)------------------------------
% 0.85/0.71 % (3309916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.71 % (3309916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.71 % (3309916)CaDiCaL version: 2.1.3
% 0.85/0.71 % (3309916)Termination reason: Instruction limit
% 0.85/0.71 % (3309916)Termination phase: Saturation
% 0.85/0.71 % (3309916)Time elapsed: 0.098 s
% 0.85/0.71 % (3309916)Peak memory usage: 11 MB
% 0.85/0.71 % (3309916)Instructions burned: 116 (million)
% 0.85/0.71 % (3309915)Instruction limit reached!
% 0.85/0.71 % (3309915)------------------------------
% 0.85/0.71 % (3309915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.71 % (3309915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.71 % (3309915)CaDiCaL version: 2.1.3
% 0.85/0.71 % (3309915)Termination reason: Instruction limit
% 0.85/0.71 % (3309915)Termination phase: Saturation
% 0.85/0.71 % (3309915)Time elapsed: 0.101 s
% 0.85/0.71 % (3309915)Peak memory usage: 11 MB
% 0.85/0.71 % (3309915)Instructions burned: 104 (million)
% 0.85/0.71 % (3309917) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3309907-3309917"...
% 0.85/0.71 % (3309917)...printing done.
% 0.85/0.71 % (3309917)Refutation found. Thanks to Tanya!
% 0.85/0.71 % SZS status Unsatisfiable for theBenchmark
% 0.85/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.85/0.71 % (3309917)------------------------------
% 0.85/0.71 % (3309917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.71 % (3309917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.71 % (3309917)CaDiCaL version: 2.1.3
% 0.85/0.71 % (3309917)Termination reason: Refutation
% 0.85/0.71 % (3309917)Time elapsed: 0.120 s
% 0.85/0.71 % (3309917)Peak memory usage: 13 MB
% 0.85/0.71 % (3309917)Instructions burned: 119 (million)
% 0.85/0.71 % (3309907)Success in time 0.174 s
% 0.85/0.71 % Vampire exiting
%------------------------------------------------------------------------------