%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HEN010-2 : 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 : n011.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 10:19:18 AM UTC 2026
% Result : Unsatisfiable 1.54s 0.89s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 38 ( 20 unt; 0 def)
% Number of atoms : 74 ( 12 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 74 ( 38 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X2,X3,X7)
| ~ quotient(X1,X3,X4)
| ~ quotient(X0,X3,X5)
| ~ quotient(X5,X4,X6)
| ~ quotient(X0,X1,X2)
| less_equal(X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',closure) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X1,X3)
| ~ quotient(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',well_defined) ).
fof(f12,axiom,
! [X0] : quotient(X0,X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f13,axiom,
! [X0] : quotient(X0,zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X4] :
( ~ less_equal(X2,X3)
| ~ quotient(X0,X1,X2)
| ~ quotient(X0,X3,X4)
| less_equal(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ quotient(identity,X2,X3)
| ~ quotient(identity,X1,X2)
| ~ quotient(identity,X0,X1)
| X1 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
fof(f19,axiom,
quotient(identity,a,idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).
fof(f20,axiom,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).
fof(f21,axiom,
quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).
fof(f22,negated_conjecture,
idQa != idQa_Q__idQ_idQa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idQa_equals_idQa_Q__idQ_idQa) ).
fof(f26,plain,
! [X0] : less_equal(X0,X0),
inference(resolution,[],[f2,f12]) ).
fof(f36,plain,
less_equal(idQa_Q__idQ_idQa,idQa),
inference(resolution,[],[f3,f21]) ).
fof(f38,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f40,plain,
( ~ less_equal(idQa,idQa_Q__idQ_idQa)
| idQa = idQa_Q__idQ_idQa ),
inference(resolution,[],[f6,f36]) ).
fof(f41,plain,
~ less_equal(idQa,idQa_Q__idQ_idQa),
inference(forward_subsumption_resolution,[],[f40,f22]) ).
fof(f50,plain,
! [X0,X1] :
( ~ quotient(X0,zero,X1)
| X0 = X1 ),
inference(resolution,[],[f9,f13]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X2,X3)
| ~ quotient(X0,X1,X2)
| less_equal(X3,X1) ),
inference(resolution,[],[f15,f26]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ quotient(identity,X2,X0)
| ~ quotient(identity,X0,X1)
| divide(identity,X1) = X0 ),
inference(resolution,[],[f18,f8]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ quotient(X3,X0,X1)
| ~ quotient(X3,X1,X4)
| ~ quotient(X4,X2,X5)
| ~ quotient(X0,X1,X2)
| less_equal(X5,zero) ),
inference(resolution,[],[f4,f12]) ).
fof(f130,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f50,f8]) ).
fof(f330,plain,
! [X0] :
( ~ quotient(identity,idQa,X0)
| idQa = divide(identity,X0) ),
inference(resolution,[],[f87,f19]) ).
fof(f363,plain,
! [X2,X0,X1] :
( ~ quotient(idQa,idQ_idQa,X1)
| ~ quotient(X0,X1,X2)
| ~ quotient(identity,idQ_idQa,X0)
| less_equal(X2,zero) ),
inference(resolution,[],[f91,f20]) ).
fof(f508,plain,
idQa = divide(identity,idQ_idQa),
inference(resolution,[],[f330,f20]) ).
fof(f514,plain,
quotient(identity,idQ_idQa,idQa),
inference(superposition,[],[f8,f508]) ).
fof(f794,plain,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(divide(X0,X2),X1) ),
inference(resolution,[],[f61,f8]) ).
fof(f1061,plain,
! [X0,X1] :
( ~ quotient(identity,idQ_idQa,X0)
| ~ quotient(X0,idQa_Q__idQ_idQa,X1)
| less_equal(X1,zero) ),
inference(resolution,[],[f363,f21]) ).
fof(f2353,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(resolution,[],[f794,f8]) ).
fof(f2576,plain,
! [X0] :
( ~ quotient(idQa,idQa_Q__idQ_idQa,X0)
| less_equal(X0,zero) ),
inference(resolution,[],[f1061,f514]) ).
fof(f2664,plain,
less_equal(divide(idQa,idQa_Q__idQ_idQa),zero),
inference(resolution,[],[f2576,f8]) ).
fof(f2669,plain,
zero = divide(idQa,idQa_Q__idQ_idQa),
inference(resolution,[],[f2664,f38]) ).
fof(f2755,plain,
less_equal(divide(idQa,zero),idQa_Q__idQ_idQa),
inference(superposition,[],[f2353,f2669]) ).
fof(f2756,plain,
less_equal(idQa,idQa_Q__idQ_idQa),
inference(forward_demodulation,[],[f2755,f130]) ).
fof(f2763,plain,
$false,
inference(forward_subsumption_resolution,[],[f2756,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HEN010-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.21/0.46 % Computer : n011.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Sun Sep 27 10:51:15 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.51 Running first-order model finding
% 0.24/0.51 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
% 1.54/0.89 % (2216952)Will run a generic schedule for satisfiability detection.
% 1.54/0.89 % (2216960)dis+10_1_sil=32000:sp=arity:random_seed=3479726459:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.54/0.89 % (2216961)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=9785419:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.54/0.89 % (2216959)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1188497614:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.54/0.89 % (2216962)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1695969906:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.54/0.89 % (2216963)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=847570350:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.54/0.89 % (2216957)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3820250448_2999 on theBenchmark for (2999ds/0Mi)
% 1.54/0.89 % TRYING [1]
% 1.54/0.89 % TRYING [2]
% 1.54/0.89 % TRYING [3]
% 1.54/0.89 % TRYING [4]
% 1.54/0.89 % TRYING [5]
% 1.54/0.89 % (2216958)% WARNING: option uhcvi not known.
% 1.54/0.89 % (2216958)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=331485514:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.54/0.89 % (2216960)Instruction limit reached!
% 1.54/0.89 % (2216960)------------------------------
% 1.54/0.89 % (2216960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.89 % (2216960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.89 % (2216960)CaDiCaL version: 2.1.3
% 1.54/0.89 % (2216960)Termination reason: Instruction limit
% 1.54/0.89 % (2216960)Termination phase: Saturation
% 1.54/0.89 % (2216960)Time elapsed: 0.052 s
% 1.54/0.89 % (2216960)Peak memory usage: 12 MB
% 1.54/0.89 % (2216960)Instructions burned: 104 (million)
% 1.54/0.89 % TRYING [6]
% 1.54/0.89 % (2216971)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=314220683:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.54/0.89 % TRYING [1]
% 1.54/0.89 % TRYING [2]
% 1.54/0.89 % TRYING [3]
% 1.54/0.89 % TRYING [4]
% 1.54/0.89 % TRYING [5]
% 1.54/0.89 % (2216961)Instruction limit reached!
% 1.54/0.89 % (2216961)------------------------------
% 1.54/0.89 % (2216961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.89 % (2216961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.89 % (2216961)CaDiCaL version: 2.1.3
% 1.54/0.89 % (2216961)Termination reason: Instruction limit
% 1.54/0.89 % (2216961)Termination phase: Saturation
% 1.54/0.89 % (2216961)Time elapsed: 0.101 s
% 1.54/0.89 % (2216961)Peak memory usage: 11 MB
% 1.54/0.89 % (2216961)Instructions burned: 119 (million)
% 1.54/0.89 % TRYING [6]
% 1.54/0.89 % (2216962)Instruction limit reached!
% 1.54/0.89 % (2216962)------------------------------
% 1.54/0.89 % (2216962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.89 % (2216962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.89 % (2216962)CaDiCaL version: 2.1.3
% 1.54/0.89 % (2216962)Termination reason: Instruction limit
% 1.54/0.89 % (2216962)Termination phase: Saturation
% 1.54/0.89 % (2216962)Time elapsed: 0.122 s
% 1.54/0.89 % (2216962)Peak memory usage: 12 MB
% 1.54/0.89 % (2216962)Instructions burned: 131 (million)
% 1.54/0.89 % TRYING [7]
% 1.54/0.89 % (2216973)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=527634731:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.54/0.89 % (2216963)Instruction limit reached!
% 1.54/0.89 % (2216963)------------------------------
% 1.54/0.89 % (2216963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.89 % (2216963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.89 % (2216963)CaDiCaL version: 2.1.3
% 1.54/0.89 % (2216963)Termination reason: Instruction limit
% 1.54/0.89 % (2216963)Termination phase: Saturation
% 1.54/0.89 % (2216963)Time elapsed: 0.156 s
% 1.54/0.89 % (2216963)Peak memory usage: 12 MB
% 1.54/0.89 % (2216963)Instructions burned: 159 (million)
% 1.54/0.89 % TRYING [7]
% 1.54/0.89 % (2216974)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=3283944581:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.54/0.89 % (2216976)ott-21_1_sil=16000:fs=off:random_seed=4103983589:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.54/0.89 % TRYING [8]
% 1.54/0.89 % (2216973) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2216952-2216973"...
% 1.54/0.89 % TRYING [8]
% 1.54/0.89 % (2216973)...printing done.
% 1.54/0.89 % (2216973)Refutation found. Thanks to Tanya!
% 1.54/0.89 % SZS status Unsatisfiable for theBenchmark
% 1.54/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.89 % (2216973)------------------------------
% 1.54/0.89 % (2216973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.89 % (2216973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.89 % (2216973)CaDiCaL version: 2.1.3
% 1.54/0.89 % (2216973)Termination reason: Refutation
% 1.54/0.89 % (2216973)Time elapsed: 0.148 s
% 1.54/0.89 % (2216973)Peak memory usage: 12 MB
% 1.54/0.89 % (2216973)Instructions burned: 130 (million)
% 1.54/0.89 % (2216952)Success in time 0.36 s
% 1.54/0.89 % Vampire exiting
%------------------------------------------------------------------------------