%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG040-2 : 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 : n006.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 5.96s 1.31s
% Output : Refutation 5.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 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 : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,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/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_symmetry) ).
fof(f23,negated_conjecture,
sum(b,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_c) ).
fof(f24,negated_conjecture,
product(d,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_plus_a) ).
fof(f25,negated_conjecture,
product(b,a,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_a) ).
fof(f26,negated_conjecture,
product(c,a,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_plus_a) ).
fof(f27,negated_conjecture,
~ sum(l,n,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f36,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X2,X4,X6)
| ~ product(X0,X3,X4)
| sum(X1,X3,X5)
| ~ product(X0,X5,X6)
| ~ product(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f39,plain,
~ sum(b,c,d),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f40,plain,
sum(l,n,additive_identity),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f46,plain,
product(a,d,additive_identity),
inference(resolution,[],[f22,f24]) ).
fof(f47,plain,
product(a,b,l),
inference(resolution,[],[f22,f25]) ).
fof(f48,plain,
product(a,c,n),
inference(resolution,[],[f22,f26]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,additive_identity)
| sum(X2,X1,X3)
| ~ product(X0,X1,n)
| ~ product(X0,X2,l) ),
inference(resolution,[],[f36,f40]) ).
fof(f195,plain,
! [X0,X1] :
( sum(X0,X1,d)
| ~ product(a,X1,n)
| ~ product(a,X0,l) ),
inference(resolution,[],[f110,f46]) ).
fof(f20887,plain,
( ~ product(a,c,n)
| ~ product(a,b,l) ),
inference(resolution,[],[f195,f39]) ).
fof(f20888,plain,
~ product(a,b,l),
inference(forward_subsumption_resolution,[],[f20887,f48]) ).
fof(f20903,plain,
$false,
inference(forward_subsumption_resolution,[],[f20888,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG040-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 23:01:55 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 5.96/1.31 % (3430007)Will run a generic schedule for satisfiability detection.
% 5.96/1.31 % (3430017)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2147422963:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.96/1.31 % (3430013)% WARNING: option uhcvi not known.
% 5.96/1.31 % (3430012)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1505927044_2999 on theBenchmark for (2999ds/0Mi)
% 5.96/1.31 % (3430013)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=75122954:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.96/1.31 % (3430014)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3372140171:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.96/1.31 % (3430015)dis+10_1_sil=32000:sp=arity:random_seed=577660919:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.96/1.31 % (3430016)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1109988733:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.96/1.31 % (3430018)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=434612355:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.96/1.31 % TRYING [1]
% 5.96/1.31 % TRYING [2]
% 5.96/1.31 % TRYING [3]
% 5.96/1.31 % TRYING [4]
% 5.96/1.31 % TRYING [5]
% 5.96/1.31 % (3430017)Instruction limit reached!
% 5.96/1.31 % (3430017)------------------------------
% 5.96/1.31 % (3430017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430017)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430017)Termination reason: Instruction limit
% 5.96/1.31 % (3430017)Termination phase: Saturation
% 5.96/1.31 % (3430017)Time elapsed: 0.045 s
% 5.96/1.31 % (3430017)Peak memory usage: 12 MB
% 5.96/1.31 % (3430017)Instructions burned: 133 (million)
% 5.96/1.31 % (3430026)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2578689091:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.96/1.31 % TRYING [1]
% 5.96/1.31 % TRYING [2]
% 5.96/1.31 % TRYING [3]
% 5.96/1.31 % TRYING [4]
% 5.96/1.31 % (3430016)Instruction limit reached!
% 5.96/1.31 % (3430016)------------------------------
% 5.96/1.31 % (3430016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430016)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430016)Termination reason: Instruction limit
% 5.96/1.31 % (3430016)Termination phase: Saturation
% 5.96/1.31 % (3430016)Time elapsed: 0.063 s
% 5.96/1.31 % (3430016)Peak memory usage: 12 MB
% 5.96/1.31 % (3430016)Instructions burned: 117 (million)
% 5.96/1.31 % (3430015)Instruction limit reached!
% 5.96/1.31 % (3430015)------------------------------
% 5.96/1.31 % (3430015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430015)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430015)Termination reason: Instruction limit
% 5.96/1.31 % (3430015)Termination phase: Saturation
% 5.96/1.31 % (3430015)Time elapsed: 0.064 s
% 5.96/1.31 % (3430015)Peak memory usage: 12 MB
% 5.96/1.31 % (3430015)Instructions burned: 103 (million)
% 5.96/1.31 % TRYING [5]
% 5.96/1.31 % (3430029)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=4183256919:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.96/1.31 % (3430028)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2192598026:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.96/1.31 % TRYING [6]
% 5.96/1.31 % (3430018)Instruction limit reached!
% 5.96/1.31 % (3430018)------------------------------
% 5.96/1.31 % (3430018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430018)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430018)Termination reason: Instruction limit
% 5.96/1.31 % (3430018)Termination phase: Saturation
% 5.96/1.31 % (3430018)Time elapsed: 0.105 s
% 5.96/1.31 % (3430018)Peak memory usage: 13 MB
% 5.96/1.31 % (3430018)Instructions burned: 160 (million)
% 5.96/1.31 % (3430032)ott-21_1_sil=16000:fs=off:random_seed=1459551970:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.96/1.31 % TRYING [6]
% 5.96/1.31 % (3430028)Instruction limit reached!
% 5.96/1.31 % (3430028)------------------------------
% 5.96/1.31 % (3430028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430028)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430028)Termination reason: Instruction limit
% 5.96/1.31 % (3430028)Termination phase: Saturation
% 5.96/1.31 % (3430028)Time elapsed: 0.083 s
% 5.96/1.31 % (3430028)Peak memory usage: 12 MB
% 5.96/1.31 % (3430028)Instructions burned: 131 (million)
% 5.96/1.31 % (3430034)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2189704214:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.96/1.31 % (3430026)Instruction limit reached!
% 5.96/1.31 % (3430026)------------------------------
% 5.96/1.31 % (3430026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430026)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430026)Termination reason: Instruction limit
% 5.96/1.31 % (3430026)Termination phase: Finite model building constraint generation
% 5.96/1.31 % (3430026)Time elapsed: 0.149 s
% 5.96/1.31 % (3430026)Peak memory usage: 31 MB
% 5.96/1.31 % (3430026)Instructions burned: 715 (million)
% 5.96/1.31 % (3430036)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1747541061:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.96/1.31 % TRYING [1]
% 5.96/1.31 % TRYING [2]
% 5.96/1.31 % TRYING [3]
% 5.96/1.31 % (3430032)Instruction limit reached!
% 5.96/1.31 % (3430032)------------------------------
% 5.96/1.31 % (3430032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430032)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430032)Termination reason: Instruction limit
% 5.96/1.31 % (3430032)Termination phase: Saturation
% 5.96/1.31 % (3430032)Time elapsed: 0.094 s
% 5.96/1.31 % (3430032)Peak memory usage: 12 MB
% 5.96/1.31 % (3430032)Instructions burned: 181 (million)
% 5.96/1.31 % TRYING [4]
% 5.96/1.31 % (3430038)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2566467126:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 5.96/1.31 % TRYING [5]
% 5.96/1.31 % TRYING [7]
% 5.96/1.31 % TRYING [6]
% 5.96/1.31 % (3430036)Instruction limit reached!
% 5.96/1.31 % (3430036)------------------------------
% 5.96/1.31 % (3430036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430036)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430036)Termination reason: Instruction limit
% 5.96/1.31 % (3430036)Termination phase: Finite model building SAT solving
% 5.96/1.31 % (3430036)Time elapsed: 0.171 s
% 5.96/1.31 % (3430036)Peak memory usage: 26 MB
% 5.96/1.31 % (3430036)Instructions burned: 871 (million)
% 5.96/1.31 % (3430040)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3641001001:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 5.96/1.31 % (3430034)Instruction limit reached!
% 5.96/1.31 % (3430034)------------------------------
% 5.96/1.31 % (3430034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430034)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430034)Termination reason: Instruction limit
% 5.96/1.31 % (3430034)Termination phase: Saturation
% 5.96/1.31 % (3430034)Time elapsed: 0.298 s
% 5.96/1.31 % (3430034)Peak memory usage: 13 MB
% 5.96/1.31 % (3430034)Instructions burned: 478 (million)
% 5.96/1.31 % TRYING [14]
% 5.96/1.31 % (3430042)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=2018027267:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 5.96/1.31 % (3430029)Instruction limit reached!
% 5.96/1.31 % (3430029)------------------------------
% 5.96/1.31 % (3430029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430029)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430029)Termination reason: Instruction limit
% 5.96/1.31 % (3430029)Termination phase: Saturation
% 5.96/1.31 % (3430029)Time elapsed: 0.424 s
% 5.96/1.31 % (3430029)Peak memory usage: 17 MB
% 5.96/1.31 % (3430029)Instructions burned: 685 (million)
% 5.96/1.31 % (3430044)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4281668800:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 5.96/1.31 % (3430040)Instruction limit reached!
% 5.96/1.31 % (3430040)------------------------------
% 5.96/1.31 % (3430040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430040)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430040)Termination reason: Instruction limit
% 5.96/1.31 % (3430040)Termination phase: Finite model building constraint generation
% 5.96/1.31 % (3430040)Time elapsed: 0.194 s
% 5.96/1.31 % (3430040)Peak memory usage: 85 MB
% 5.96/1.31 % (3430040)Instructions burned: 894 (million)
% 5.96/1.31 % (3430046)fmb+10_1_sil=64000:random_seed=2705141414:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 5.96/1.31 % TRYING [1]
% 5.96/1.31 % TRYING [2]
% 5.96/1.31 % TRYING [3]
% 5.96/1.31 % TRYING [4]
% 5.96/1.31 % TRYING [5]
% 5.96/1.31 % TRYING [6]
% 5.96/1.31 % TRYING [8]
% 5.96/1.31 % (3430013) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3430007-3430013"...
% 5.96/1.31 % (3430013)...printing done.
% 5.96/1.31 % (3430013)Refutation found. Thanks to Tanya!
% 5.96/1.31 % SZS status Unsatisfiable for theBenchmark
% 5.96/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 5.96/1.31 % (3430013)------------------------------
% 5.96/1.31 % (3430013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.31 % (3430013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.31 % (3430013)CaDiCaL version: 2.1.3
% 5.96/1.31 % (3430013)Termination reason: Refutation
% 5.96/1.31 % (3430013)Time elapsed: 0.849 s
% 5.96/1.31 % (3430013)Peak memory usage: 17 MB
% 5.96/1.31 % (3430013)Instructions burned: 1540 (million)
% 5.96/1.31 % (3430007)Success in time 0.895 s
% 5.96/1.31 % Vampire exiting
%------------------------------------------------------------------------------