%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG006-2 : 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 : n007.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 12:35:41 PM UTC 2026
% Result : Unsatisfiable 5.75s 1.43s
% Output : Refutation 5.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 11 unt; 2 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f29,axiom,
! [X2,X0,X1] :
( product(X0,additive_inverse(X1),additive_inverse(X2))
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_lemma1) ).
fof(f32,axiom,
sum(b,additive_inverse(c),bS_Ic),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_inverse_c) ).
fof(f33,axiom,
product(a,b,aPb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f34,axiom,
product(a,c,aPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c) ).
fof(f35,axiom,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aPb_plus_IaPc) ).
fof(f36,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(f195,plain,
! [X2,X3,X0,X1] :
( ~ product(a,X0,X1)
| ~ sum(X2,X0,bS_Ic)
| ~ sum(X3,X1,aPb_S_IaPc)
| ~ product(a,X2,X3) ),
inference(resolution,[],[f22,f36]) ).
fof(f658,plain,
! [X0,X1] :
( ~ product(a,additive_inverse(c),X0)
| ~ sum(X1,X0,aPb_S_IaPc)
| ~ product(a,b,X1) ),
inference(resolution,[],[f32,f195]) ).
fof(f2624,plain,
! [X0,X1] :
( ~ sum(X1,additive_inverse(X0),aPb_S_IaPc)
| ~ product(a,b,X1)
| ~ product(a,c,X0) ),
inference(resolution,[],[f658,f29]) ).
fof(f8998,plain,
( ~ product(a,b,aPb)
| ~ product(a,c,aPc) ),
inference(resolution,[],[f2624,f35]) ).
fof(f9008,definition,
( spl0_374
<=> product(a,c,aPc) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
fof(f9010,plain,
( ~ product(a,c,aPc)
| spl0_374 ),
inference(avatar_component_clause,[],[f9008]) ).
fof(f9012,definition,
( spl0_375
<=> product(a,b,aPb) ),
introduced(definition,[new_symbols(definition,[spl0_375])],[avatar_definition]) ).
fof(f9014,plain,
( ~ product(a,b,aPb)
| spl0_375 ),
inference(avatar_component_clause,[],[f9012]) ).
fof(f9015,plain,
( ~ spl0_374
| ~ spl0_375 ),
inference(avatar_split_clause,[],[f8998,f9012,f9008]) ).
fof(f9016,plain,
( $false
| spl0_374 ),
inference(resolution,[],[f9010,f34]) ).
fof(f9024,plain,
spl0_374,
inference(avatar_contradiction_clause,[],[f9016]) ).
fof(f9050,plain,
( $false
| spl0_375 ),
inference(resolution,[],[f9014,f33]) ).
fof(f9058,plain,
spl0_375,
inference(avatar_contradiction_clause,[],[f9050]) ).
cnf(s433,plain,
( ~ spl0_374
| ~ spl0_375 ),
inference(sat_conversion,[],[f9015]) ).
cnf(s434,plain,
spl0_374,
inference(sat_conversion,[],[f9024]) ).
cnf(s435,plain,
spl0_375,
inference(sat_conversion,[],[f9058]) ).
cnf(s436,plain,
$false,
inference(rat,[],[s433,s435,s434]) ).
fof(f9059,plain,
$false,
inference(avatar_sat_refutation,[],[s436]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG006-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:56:11 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 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
% 5.75/1.43 % (1869648)Will run a generic schedule for satisfiability detection.
% 5.75/1.43 % (1869655)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3419942721:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.75/1.43 % (1869654)% WARNING: option uhcvi not known.
% 5.75/1.43 % (1869653)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2681079032_2999 on theBenchmark for (2999ds/0Mi)
% 5.75/1.43 % (1869654)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=793534616:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.75/1.43 % (1869656)dis+10_1_sil=32000:sp=arity:random_seed=1574249993:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.75/1.43 % (1869657)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1065261742:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.75/1.43 % (1869658)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2626884418:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.75/1.43 % (1869659)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3210066626:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.75/1.43 % TRYING [1]
% 5.75/1.43 % TRYING [2]
% 5.75/1.43 % TRYING [3]
% 5.75/1.43 % TRYING [4]
% 5.75/1.43 % (1869657)Instruction limit reached!
% 5.75/1.43 % (1869657)------------------------------
% 5.75/1.43 % (1869657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.75/1.43 % (1869657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.43 % (1869657)CaDiCaL version: 2.1.3
% 5.75/1.43 % (1869657)Termination reason: Instruction limit
% 5.75/1.43 % (1869657)Termination phase: Saturation
% 5.75/1.43 % (1869657)Time elapsed: 0.098 s
% 5.75/1.43 % (1869657)Peak memory usage: 12 MB
% 5.75/1.43 % (1869657)Instructions burned: 117 (million)
% 5.75/1.43 % (1869656)Instruction limit reached!
% 5.75/1.43 % (1869656)------------------------------
% 5.75/1.43 % (1869656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.75/1.43 % (1869656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.43 % (1869656)CaDiCaL version: 2.1.3
% 5.75/1.43 % (1869656)Termination reason: Instruction limit
% 5.75/1.43 % (1869656)Termination phase: Saturation
% 5.75/1.43 % (1869656)Time elapsed: 0.101 s
% 5.75/1.43 % (1869656)Peak memory usage: 12 MB
% 5.75/1.43 % (1869656)Instructions burned: 104 (million)
% 5.75/1.43 % (1869667)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1580300637:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.75/1.43 % TRYING [1]
% 5.75/1.43 % TRYING [2]
% 5.75/1.43 % TRYING [3]
% 5.75/1.43 % (1869658)Instruction limit reached!
% 5.75/1.43 % (1869658)------------------------------
% 5.75/1.43 % (1869658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.75/1.43 % (1869658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.43 % (1869658)CaDiCaL version: 2.1.3
% 5.75/1.43 % (1869658)Termination reason: Instruction limit
% 5.75/1.43 % (1869658)Termination phase: Saturation
% 5.75/1.43 % (1869658)Time elapsed: 0.131 s
% 5.75/1.43 % (1869658)Peak memory usage: 12 MB
% 5.75/1.43 % (1869658)Instructions burned: 131 (million)
% 5.75/1.43 % (1869668)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=964811665:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.75/1.43 % (1869659)Instruction limit reached!
% 5.75/1.43 % (1869659)------------------------------
% 5.75/1.43 % (1869659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.75/1.43 % (1869659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.43 % (1869659)CaDiCaL version: 2.1.3
% 5.75/1.43 % (1869659)Termination reason: Instruction limit
% 5.75/1.43 % (1869659)Termination phase: Saturation
% 5.75/1.43 % (1869659)Time elapsed: 0.148 s
% 5.75/1.43 % (1869659)Peak memory usage: 13 MB
% 5.75/1.43 % (1869659)Instructions burned: 159 (million)
% 5.75/1.43 % TRYING [4]
% 5.75/1.43 % (1869670)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=421759151:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.75/1.43 % (1869672)ott-21_1_sil=16000:fs=off:random_seed=3088484970:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.75/1.43 % (1869668)Instruction limit reached!
% 5.75/1.43 % (1869668)------------------------------
% 5.75/1.43 % (1869668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.75/1.43 % (1869668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.43 % (1869668)CaDiCaL version: 2.1.3
% 5.75/1.43 % (1869668)Termination reason: Instruction limit
% 5.75/1.43 % (1869668)Termination phase: Saturation
% 5.75/1.43 % (1869668)Time elapsed: 0.126 s
% 5.75/1.43 % (1869668)Peak memory usage: 12 MB
% 5.75/1.43 % (1869668)Instructions burned: 131 (million)
% 5.75/1.43 % (1869675)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1533574816:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.75/1.43 % (1869672)Instruction limit reached!
% 5.75/1.43 % (1869672)------------------------------
% 5.75/1.43 % (1869672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.75/1.43 % (1869672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.43 % (1869672)CaDiCaL version: 2.1.3
% 5.75/1.43 % (1869672)Termination reason: Instruction limit
% 5.75/1.43 % (1869672)Termination phase: Saturation
% 5.75/1.43 % (1869672)Time elapsed: 0.123 s
% 5.75/1.43 % (1869672)Peak memory usage: 12 MB
% 5.75/1.43 % (1869672)Instructions burned: 180 (million)
% 5.75/1.43 % (1869677)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1393008970:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 5.75/1.43 % TRYING [1]
% 5.75/1.43 % TRYING [2]
% 5.75/1.43 % TRYING [3]
% 5.75/1.43 % TRYING [4]
% 5.75/1.43 % (1869667)Instruction limit reached!
% 5.75/1.43 % (1869667)------------------------------
% 5.75/1.43 % (1869667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.75/1.43 % (1869667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.43 % (1869667)CaDiCaL version: 2.1.3
% 5.75/1.43 % (1869667)Termination reason: Instruction limit
% 5.75/1.43 % (1869667)Termination phase: Finite model building SAT solving
% 5.75/1.43 % (1869667)Time elapsed: 0.446 s
% 5.75/1.43 % (1869667)Peak memory usage: 17 MB
% 5.75/1.43 % (1869667)Instructions burned: 715 (million)
% 5.75/1.43 % (1869680)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3971406900:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 5.75/1.43 % (1869675)Instruction limit reached!
% 5.75/1.43 % (1869675)------------------------------
% 5.75/1.43 % (1869675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.75/1.43 % (1869675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.43 % (1869675)CaDiCaL version: 2.1.3
% 5.75/1.43 % (1869675)Termination reason: Instruction limit
% 5.75/1.43 % (1869675)Termination phase: Saturation
% 5.75/1.43 % (1869675)Time elapsed: 0.345 s
% 5.75/1.43 % (1869675)Peak memory usage: 14 MB
% 5.75/1.43 % (1869675)Instructions burned: 477 (million)
% 5.75/1.43 % (1869670)Instruction limit reached!
% 5.75/1.43 % (1869670)------------------------------
% 5.75/1.43 % (1869670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.75/1.43 % (1869670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.43 % (1869670)CaDiCaL version: 2.1.3
% 5.75/1.43 % (1869670)Termination reason: Instruction limit
% 5.75/1.43 % (1869670)Termination phase: Saturation
% 5.75/1.43 % (1869670)Time elapsed: 0.466 s
% 5.75/1.43 % (1869670)Peak memory usage: 18 MB
% 5.75/1.43 % (1869670)Instructions burned: 687 (million)
% 5.75/1.43 % (1869682)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=573859653:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 5.75/1.43 % (1869683)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3846254403:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 5.75/1.43 % TRYING [5]
% 5.75/1.43 % TRYING [5]
% 5.75/1.43 % (1869677)Instruction limit reached!
% 5.75/1.43 % (1869677)------------------------------
% 5.75/1.43 % (1869677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.75/1.43 % (1869677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.43 % (1869677)CaDiCaL version: 2.1.3
% 5.75/1.43 % (1869677)Termination reason: Instruction limit
% 5.75/1.43 % (1869677)Termination phase: Finite model building constraint generation
% 5.75/1.43 % (1869677)Time elapsed: 0.425 s
% 5.75/1.43 % (1869677)Peak memory usage: 14 MB
% 5.75/1.43 % (1869677)Instructions burned: 869 (million)
% 5.75/1.43 % (1869719)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2343042147:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 5.75/1.43 % TRYING [14]
% 5.75/1.43 % (1869719) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1869648-1869719"...
% 5.75/1.43 % (1869719)...printing done.
% 5.75/1.43 % (1869719)Refutation found. Thanks to Tanya!
% 5.75/1.43 % SZS status Unsatisfiable for theBenchmark
% 5.75/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 5.75/1.43 % (1869719)------------------------------
% 5.75/1.43 % (1869719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.75/1.43 % (1869719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/1.43 % (1869719)CaDiCaL version: 2.1.3
% 5.75/1.43 % (1869719)Termination reason: Refutation
% 5.75/1.43 % (1869719)Time elapsed: 0.164 s
% 5.75/1.43 % (1869719)Peak memory usage: 14 MB
% 5.75/1.43 % (1869719)Instructions burned: 306 (million)
% 5.75/1.43 % (1869648)Success in time 0.971 s
% 5.75/1.43 % Vampire exiting
%------------------------------------------------------------------------------