%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG006-1 : 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 : n018.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 1.03s 0.67s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG001-0.ax',distributivity2) ).
fof(f18,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X0,additive_inverse(X1),additive_inverse(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_lemma1) ).
fof(f21,axiom,
sum(b,additive_inverse(c),bS_Ic),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_inverse_c) ).
fof(f22,axiom,
product(a,b,aPb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f23,axiom,
product(a,c,aPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c) ).
fof(f24,axiom,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aPb_plus_IaPc) ).
fof(f25,negated_conjecture,
~ product(a,bS_Ic,aPb_S_IaPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_bS_Ic_is_aPb_S__IaPc) ).
fof(f30,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ product(X0,additive_inverse(X1),additive_inverse(X2))
| product(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f37,plain,
~ product(a,b,aPb),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f38,plain,
~ product(a,c,aPc),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f39,plain,
product(a,bS_Ic,aPb_S_IaPc),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( ~ sum(X3,X1,aPb_S_IaPc)
| ~ sum(X2,X0,bS_Ic)
| product(a,X0,X1)
| product(a,X2,X3) ),
inference(resolution,[],[f30,f39]) ).
fof(f164,plain,
! [X0,X1] :
( ~ sum(X0,X1,bS_Ic)
| product(a,X1,additive_inverse(aPc))
| product(a,X0,aPb) ),
inference(resolution,[],[f104,f24]) ).
fof(f1755,plain,
( product(a,additive_inverse(c),additive_inverse(aPc))
| product(a,b,aPb) ),
inference(resolution,[],[f164,f21]) ).
fof(f1800,plain,
product(a,additive_inverse(c),additive_inverse(aPc)),
inference(forward_subsumption_resolution,[],[f1755,f37]) ).
fof(f2103,plain,
product(a,c,aPc),
inference(resolution,[],[f1800,f34]) ).
fof(f2107,plain,
$false,
inference(forward_subsumption_resolution,[],[f2103,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.45 % Computer : n018.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 23:00:09 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.50 Running first-order model finding
% 0.23/0.50 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
% 1.03/0.67 % (2831377)Will run a generic schedule for satisfiability detection.
% 1.03/0.67 % (2831387)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=501619991:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.03/0.67 % (2831383)% WARNING: option uhcvi not known.
% 1.03/0.67 % (2831383)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2307167880:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.03/0.67 % (2831384)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2107742805:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.03/0.67 % (2831385)dis+10_1_sil=32000:sp=arity:random_seed=1265831398:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.03/0.67 % (2831382)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2582895919_2999 on theBenchmark for (2999ds/0Mi)
% 1.03/0.67 % (2831386)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2889657117:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.03/0.67 % (2831388)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3397618599:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.03/0.67 % TRYING [1]
% 1.03/0.67 % TRYING [2]
% 1.03/0.67 % TRYING [3]
% 1.03/0.67 % TRYING [4]
% 1.03/0.67 % (2831387)Instruction limit reached!
% 1.03/0.67 % (2831387)------------------------------
% 1.03/0.67 % (2831387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.67 % (2831387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.67 % (2831387)CaDiCaL version: 2.1.3
% 1.03/0.67 % (2831387)Termination reason: Instruction limit
% 1.03/0.67 % (2831387)Termination phase: Saturation
% 1.03/0.67 % (2831387)Time elapsed: 0.066 s
% 1.03/0.67 % (2831387)Peak memory usage: 12 MB
% 1.03/0.67 % (2831387)Instructions burned: 133 (million)
% 1.03/0.67 % (2831398)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2479012491:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.03/0.67 % (2831386)Instruction limit reached!
% 1.03/0.67 % (2831386)------------------------------
% 1.03/0.67 % (2831386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.67 % (2831386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.67 % (2831386)CaDiCaL version: 2.1.3
% 1.03/0.67 % (2831386)Termination reason: Instruction limit
% 1.03/0.67 % (2831386)Termination phase: Saturation
% 1.03/0.67 % (2831386)Time elapsed: 0.089 s
% 1.03/0.67 % (2831386)Peak memory usage: 12 MB
% 1.03/0.67 % (2831386)Instructions burned: 117 (million)
% 1.03/0.67 % TRYING [1]
% 1.03/0.67 % TRYING [2]
% 1.03/0.67 % TRYING [3]
% 1.03/0.67 % (2831385)Instruction limit reached!
% 1.03/0.67 % (2831385)------------------------------
% 1.03/0.67 % (2831385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.67 % (2831385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.67 % (2831385)CaDiCaL version: 2.1.3
% 1.03/0.67 % (2831385)Termination reason: Instruction limit
% 1.03/0.67 % (2831385)Termination phase: Saturation
% 1.03/0.67 % (2831385)Time elapsed: 0.107 s
% 1.03/0.67 % (2831385)Peak memory usage: 12 MB
% 1.03/0.67 % (2831385)Instructions burned: 103 (million)
% 1.03/0.67 % (2831400)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=402346191:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.03/0.67 % (2831383) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2831377-2831383"...
% 1.03/0.67 % TRYING [4]
% 1.03/0.67 % (2831383)...printing done.
% 1.03/0.67 % (2831383)Refutation found. Thanks to Tanya!
% 1.03/0.67 % SZS status Unsatisfiable for theBenchmark
% 1.03/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.03/0.67 % (2831383)------------------------------
% 1.03/0.67 % (2831383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.67 % (2831383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.67 % (2831383)CaDiCaL version: 2.1.3
% 1.03/0.67 % (2831383)Termination reason: Refutation
% 1.03/0.67 % (2831383)Time elapsed: 0.121 s
% 1.03/0.67 % (2831383)Peak memory usage: 12 MB
% 1.03/0.67 % (2831383)Instructions burned: 138 (million)
% 1.03/0.67 % (2831377)Success in time 0.161 s
% 1.03/0.67 % Vampire exiting
%------------------------------------------------------------------------------