%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV023-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 10:58:59 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 23 unt; 0 def)
% Number of atoms : 63 ( 25 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 49 ( 24 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : gt(plus(X0,n1),n0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_2) ).
fof(f5,axiom,
! [X2,X0,X1] :
( minus(X0,X1) = X2
| plus(X2,X1) != X0
| def_10(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_5) ).
fof(f7,axiom,
! [X0,X1] :
( ~ def_10(X0,X1)
| X1 != X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_7) ).
fof(f8,plain,
! [X0,X1] :
( ~ def_10(X0,X1)
| X0 != X1 ),
inference(reorient_equations,[],[f7]) ).
fof(f24,axiom,
! [X0] : plus(n0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_19) ).
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
fof(f29,axiom,
! [X0] :
( int_level(X0) != n0
| p_Empty(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_24) ).
fof(f30,plain,
! [X0] :
( n0 != int_level(X0)
| p_Empty(X0) ),
inference(reorient_equations,[],[f29]) ).
fof(f90,axiom,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| int_level(plus(X0,n1)) = minus(int_level(X0),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_71) ).
fof(f113,negated_conjecture,
level(t_139) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f114,plain,
n1 = level(t_139),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f116,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f117,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f118,negated_conjecture,
~ p_Empty(plus(t_139,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f119,plain,
n1 = int_level(t_139),
inference(definition_unfolding,[],[f114,f26]) ).
fof(f121,plain,
! [X2,X1] :
( def_10(X1,plus(X2,X1))
| minus(plus(X2,X1),X1) = X2 ),
inference(equality_resolution,[],[f5]) ).
fof(f122,plain,
! [X1] : ~ def_10(X1,X1),
inference(equality_resolution,[],[f8]) ).
fof(f123,plain,
! [X0] : ~ gt(plus(X0,n1),n0),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f137,plain,
! [X0] :
( n0 != int_level(X0)
| ~ p_Empty(X0) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f184,plain,
! [X0] :
( ~ p_Wr(X0)
| ~ p_Reset(X0)
| p_Rd(X0)
| gt(int_level(X0),n0)
| int_level(plus(X0,n1)) = minus(int_level(X0),n1) ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f204,plain,
p_Wr(t_139),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f205,plain,
~ p_Rd(t_139),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f206,plain,
p_Reset(t_139),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f207,plain,
p_Empty(plus(t_139,n1)),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f209,plain,
~ gt(n1,n0),
inference(superposition,[],[f123,f24]) ).
fof(f343,plain,
! [X0] :
( def_10(X0,X0)
| n0 = minus(X0,X0) ),
inference(superposition,[],[f121,f24]) ).
fof(f345,plain,
! [X0] : n0 = minus(X0,X0),
inference(forward_subsumption_resolution,[],[f343,f122]) ).
fof(f737,plain,
( ~ p_Reset(t_139)
| p_Rd(t_139)
| gt(int_level(t_139),n0)
| int_level(plus(t_139,n1)) = minus(int_level(t_139),n1) ),
inference(resolution,[],[f184,f204]) ).
fof(f745,plain,
( p_Rd(t_139)
| gt(int_level(t_139),n0)
| int_level(plus(t_139,n1)) = minus(int_level(t_139),n1) ),
inference(forward_subsumption_resolution,[],[f737,f206]) ).
fof(f746,plain,
( gt(int_level(t_139),n0)
| int_level(plus(t_139,n1)) = minus(int_level(t_139),n1) ),
inference(forward_subsumption_resolution,[],[f745,f205]) ).
fof(f747,plain,
( gt(n1,n0)
| int_level(plus(t_139,n1)) = minus(int_level(t_139),n1) ),
inference(forward_demodulation,[],[f746,f119]) ).
fof(f748,plain,
int_level(plus(t_139,n1)) = minus(int_level(t_139),n1),
inference(forward_subsumption_resolution,[],[f747,f209]) ).
fof(f749,plain,
minus(n1,n1) = int_level(plus(t_139,n1)),
inference(forward_demodulation,[],[f748,f119]) ).
fof(f750,plain,
n0 = int_level(plus(t_139,n1)),
inference(forward_demodulation,[],[f749,f345]) ).
fof(f755,plain,
( n0 != n0
| ~ p_Empty(plus(t_139,n1)) ),
inference(superposition,[],[f137,f750]) ).
fof(f761,plain,
~ p_Empty(plus(t_139,n1)),
inference(trivial_inequality_removal,[],[f755]) ).
fof(f762,plain,
$false,
inference(forward_subsumption_resolution,[],[f761,f207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV023-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n005.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:57:32 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.15/0.48 % (3819509)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (3819519)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2765265628:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48 % (3819515)% WARNING: option uhcvi not known.
% 0.15/0.48 % (3819514)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1014953249_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % (3819515)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=98076119:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48 % (3819518)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=501559224:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48 % (3819516)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1342509852:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48 % (3819517)dis+10_1_sil=32000:sp=arity:random_seed=1883716106:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48 % (3819520)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1759194586:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % TRYING [1]
% 0.15/0.48 % TRYING [2]
% 0.15/0.48 % TRYING [3]
% 0.15/0.48 % (3819515) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3819509-3819515"...
% 0.15/0.48 % (3819515)...printing done.
% 0.15/0.48 % (3819515)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (3819515)------------------------------
% 0.15/0.48 % (3819515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (3819515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (3819515)CaDiCaL version: 2.1.3
% 0.15/0.48 % (3819515)Termination reason: Refutation
% 0.15/0.48 % (3819515)Time elapsed: 0.017 s
% 0.15/0.48 % (3819515)Peak memory usage: 12 MB
% 0.15/0.48 % (3819515)Instructions burned: 21 (million)
% 0.15/0.48 % (3819509)Success in time 0.05 s
% 0.15/0.48 % Vampire exiting
%------------------------------------------------------------------------------