%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN011-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 10:19:20 AM UTC 2026
% Result : Unsatisfiable 1.87s 0.76s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 36 unt; 6 def)
% Number of atoms : 48 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ less_equal(X1,X2)
| ~ less_equal(X0,X1)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f20,axiom,
! [X0] : divide(identity,divide(identity,divide(identity,X0))) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
fof(f21,plain,
! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(identity,X0))),
inference(reorient_equations,[],[f20]) ).
fof(f24,negated_conjecture,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f25,definition,
sF0 = divide(identity,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f26,plain,
divide(identity,a) = sF0,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF1 = divide(identity,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f28,plain,
divide(identity,b) = sF1,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF2 = divide(identity,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f30,plain,
divide(identity,sF1) = sF2,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF3 = divide(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f32,plain,
divide(sF0,sF2) = sF3,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF4 = divide(identity,sF0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f34,plain,
divide(identity,sF0) = sF4,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF5 = divide(sF1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f36,plain,
divide(sF1,sF4) = sF5,
inference(reorient_equations,[],[f35]) ).
fof(f37,plain,
sF3 != sF5,
inference(definition_folding,[],[f24,f36,f34,f26,f28,f32,f30,f28,f26]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ less_equal(X0,divide(X1,X2))
| less_equal(X0,X1) ),
inference(resolution,[],[f16,f3]) ).
fof(f226,plain,
sF0 = divide(identity,divide(identity,sF0)),
inference(superposition,[],[f21,f26]) ).
fof(f227,plain,
sF1 = divide(identity,divide(identity,sF1)),
inference(superposition,[],[f21,f28]) ).
fof(f237,plain,
sF1 = divide(identity,sF2),
inference(forward_demodulation,[],[f227,f30]) ).
fof(f238,plain,
sF0 = divide(identity,sF4),
inference(forward_demodulation,[],[f226,f34]) ).
fof(f265,plain,
! [X0] : less_equal(divide(divide(X0,sF2),sF3),divide(divide(X0,sF0),sF2)),
inference(superposition,[],[f4,f32]) ).
fof(f266,plain,
! [X0] : less_equal(divide(divide(X0,sF4),sF5),divide(divide(X0,sF1),sF4)),
inference(superposition,[],[f4,f36]) ).
fof(f1952,plain,
less_equal(divide(divide(identity,sF2),sF3),divide(sF4,sF2)),
inference(superposition,[],[f265,f34]) ).
fof(f1958,plain,
less_equal(divide(sF1,sF3),divide(sF4,sF2)),
inference(forward_demodulation,[],[f1952,f237]) ).
fof(f1995,plain,
less_equal(divide(sF0,sF5),divide(divide(identity,sF1),sF4)),
inference(superposition,[],[f266,f238]) ).
fof(f2014,plain,
less_equal(divide(sF0,sF5),divide(sF2,sF4)),
inference(forward_demodulation,[],[f1995,f30]) ).
fof(f6844,plain,
less_equal(divide(sF1,sF3),sF4),
inference(resolution,[],[f1958,f161]) ).
fof(f6926,plain,
less_equal(divide(sF0,sF5),sF2),
inference(resolution,[],[f2014,f161]) ).
fof(f7067,plain,
less_equal(divide(sF1,sF4),sF3),
inference(resolution,[],[f6844,f17]) ).
fof(f7084,plain,
less_equal(sF5,sF3),
inference(forward_demodulation,[],[f7067,f36]) ).
fof(f7118,plain,
( ~ less_equal(sF3,sF5)
| sF3 = sF5 ),
inference(resolution,[],[f7084,f6]) ).
fof(f7120,plain,
~ less_equal(sF3,sF5),
inference(forward_subsumption_resolution,[],[f7118,f37]) ).
fof(f7185,plain,
less_equal(divide(sF0,sF2),sF5),
inference(resolution,[],[f6926,f17]) ).
fof(f7202,plain,
less_equal(sF3,sF5),
inference(forward_demodulation,[],[f7185,f32]) ).
fof(f7204,plain,
$false,
inference(forward_subsumption_resolution,[],[f7202,f7120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN011-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n013.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 10:51:07 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 1.87/0.76 % (45579)Will run a generic schedule for satisfiability detection.
% 1.87/0.76 % (45588)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=805596828:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.87/0.76 % (45585)% WARNING: option uhcvi not known.
% 1.87/0.76 % (45587)dis+10_1_sil=32000:sp=arity:random_seed=3775736145:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.87/0.76 % (45584)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3675350999_2999 on theBenchmark for (2999ds/0Mi)
% 1.87/0.76 % (45585)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2424971715:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.87/0.76 % (45586)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2123097583:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.87/0.76 % (45589)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3718141039:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.87/0.76 % (45590)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=328919042:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.87/0.76 % TRYING [1]
% 1.87/0.76 % TRYING [2]
% 1.87/0.76 % TRYING [3]
% 1.87/0.76 % TRYING [4]
% 1.87/0.76 % TRYING [5]
% 1.87/0.76 % (45588)Instruction limit reached!
% 1.87/0.76 % (45588)------------------------------
% 1.87/0.76 % (45588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.76 % (45588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.76 % (45588)CaDiCaL version: 2.1.3
% 1.87/0.76 % (45588)Termination reason: Instruction limit
% 1.87/0.76 % (45588)Termination phase: Saturation
% 1.87/0.76 % (45588)Time elapsed: 0.039 s
% 1.87/0.76 % (45588)Peak memory usage: 12 MB
% 1.87/0.76 % (45588)Instructions burned: 118 (million)
% 1.87/0.76 % TRYING [6]
% 1.87/0.76 % (45598)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2898817221:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.87/0.76 % TRYING [1]
% 1.87/0.76 % TRYING [2]
% 1.87/0.76 % TRYING [3]
% 1.87/0.76 % TRYING [4]
% 1.87/0.76 % TRYING [5]
% 1.87/0.76 % (45587)Instruction limit reached!
% 1.87/0.76 % (45587)------------------------------
% 1.87/0.76 % (45587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.76 % (45587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.76 % (45587)CaDiCaL version: 2.1.3
% 1.87/0.76 % (45587)Termination reason: Instruction limit
% 1.87/0.76 % (45587)Termination phase: Saturation
% 1.87/0.76 % (45587)Time elapsed: 0.062 s
% 1.87/0.76 % (45587)Peak memory usage: 12 MB
% 1.87/0.76 % (45587)Instructions burned: 104 (million)
% 1.87/0.76 % TRYING [6]
% 1.87/0.76 % (45589)Instruction limit reached!
% 1.87/0.76 % (45589)------------------------------
% 1.87/0.76 % (45589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.76 % (45589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.76 % (45589)CaDiCaL version: 2.1.3
% 1.87/0.76 % (45589)Termination reason: Instruction limit
% 1.87/0.76 % (45589)Termination phase: Saturation
% 1.87/0.76 % (45589)Time elapsed: 0.077 s
% 1.87/0.76 % (45589)Peak memory usage: 13 MB
% 1.87/0.76 % (45589)Instructions burned: 132 (million)
% 1.87/0.76 % (45600)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3228154859:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.87/0.76 % (45601)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=1122921779:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.87/0.76 % TRYING [7]
% 1.87/0.76 % (45590)Instruction limit reached!
% 1.87/0.76 % (45590)------------------------------
% 1.87/0.76 % (45590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.76 % (45590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.76 % (45590)CaDiCaL version: 2.1.3
% 1.87/0.76 % (45590)Termination reason: Instruction limit
% 1.87/0.76 % (45590)Termination phase: Saturation
% 1.87/0.76 % (45590)Time elapsed: 0.101 s
% 1.87/0.76 % (45590)Peak memory usage: 12 MB
% 1.87/0.76 % (45590)Instructions burned: 160 (million)
% 1.87/0.76 % TRYING [7]
% 1.87/0.76 % (45604)ott-21_1_sil=16000:fs=off:random_seed=977540971:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.87/0.76 % (45600)Instruction limit reached!
% 1.87/0.76 % (45600)------------------------------
% 1.87/0.76 % (45600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.76 % (45600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.76 % (45600)CaDiCaL version: 2.1.3
% 1.87/0.76 % (45600)Termination reason: Instruction limit
% 1.87/0.76 % (45600)Termination phase: Saturation
% 1.87/0.76 % (45600)Time elapsed: 0.087 s
% 1.87/0.76 % (45600)Peak memory usage: 12 MB
% 1.87/0.76 % (45600)Instructions burned: 131 (million)
% 1.87/0.76 % (45606)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3985201018:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.87/0.76 % TRYING [8]
% 1.87/0.76 % (45604)Instruction limit reached!
% 1.87/0.76 % (45604)------------------------------
% 1.87/0.76 % (45604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.76 % (45604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.76 % (45604)CaDiCaL version: 2.1.3
% 1.87/0.76 % (45604)Termination reason: Instruction limit
% 1.87/0.76 % (45604)Termination phase: Saturation
% 1.87/0.76 % (45604)Time elapsed: 0.092 s
% 1.87/0.76 % (45604)Peak memory usage: 12 MB
% 1.87/0.76 % (45604)Instructions burned: 182 (million)
% 1.87/0.76 % TRYING [8]
% 1.87/0.76 % (45598)Instruction limit reached!
% 1.87/0.76 % (45598)------------------------------
% 1.87/0.76 % (45598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.76 % (45598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.76 % (45598)CaDiCaL version: 2.1.3
% 1.87/0.76 % (45598)Termination reason: Instruction limit
% 1.87/0.76 % (45598)Termination phase: Finite model building constraint generation
% 1.87/0.76 % (45598)Time elapsed: 0.183 s
% 1.87/0.76 % (45598)Peak memory usage: 27 MB
% 1.87/0.76 % (45598)Instructions burned: 714 (million)
% 1.87/0.76 % (45608)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2494576363:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.87/0.76 % TRYING [1]
% 1.87/0.76 % TRYING [2]
% 1.87/0.76 % TRYING [3]
% 1.87/0.76 % (45609)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2768719555:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.87/0.76 % TRYING [4]
% 1.87/0.76 % TRYING [5]
% 1.87/0.76 % (45609) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-45579-45609"...
% 1.87/0.76 % (45609)...printing done.
% 1.87/0.76 % (45609)Refutation found. Thanks to Tanya!
% 1.87/0.76 % SZS status Unsatisfiable for theBenchmark
% 1.87/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.76 % (45609)------------------------------
% 1.87/0.76 % (45609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.76 % (45609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.76 % (45609)CaDiCaL version: 2.1.3
% 1.87/0.76 % (45609)Termination reason: Refutation
% 1.87/0.76 % (45609)Time elapsed: 0.065 s
% 1.87/0.76 % (45609)Peak memory usage: 14 MB
% 1.87/0.76 % (45609)Instructions burned: 194 (million)
% 1.87/0.76 % (45579)Success in time 0.341 s
% 1.87/0.76 % Vampire exiting
%------------------------------------------------------------------------------