%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV005-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 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 10:58:53 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 34
% Syntax : Number of formulae : 108 ( 29 unt; 8 def)
% Number of atoms : 215 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 197 ( 90 ~; 99 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 20 ( 19 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| ~ zero(X0)
| zero(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_zero1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| ~ zero(X1)
| zero(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_zero2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ connection(X0,X1)
| ~ one(X1)
| one(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_one2) ).
fof(f5,axiom,
! [X0] :
( ~ one(X0)
| ~ zero(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',unique_value) ).
fof(f9,axiom,
! [X0] :
( zero(in2(X0))
| ~ zero(out1(X0))
| zero(in1(X0))
| ~ and_ok(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_0_00) ).
fof(f13,axiom,
! [X0] :
( ~ logic_and(X0)
| and_ok(X0)
| abnormal(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_ok_or_abnormal) ).
fof(f18,axiom,
! [X0] :
( ~ or_ok(X0)
| ~ zero(out1(X0))
| zero(in1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_0_0x) ).
fof(f21,axiom,
! [X0] :
( ~ logic_or(X0)
| or_ok(X0)
| abnormal(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_ok_or_abnormal) ).
fof(f24,axiom,
! [X0] :
( ~ zero(out1(X0))
| ~ not_ok(X0)
| one(in1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',not_0_1_bw) ).
fof(f27,axiom,
! [X0] :
( ~ logic_not(X0)
| not_ok(X0)
| abnormal(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',not_ok_or_abnormal) ).
fof(f28,axiom,
! [X0] :
( logic_and(and1(X0))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_and1) ).
fof(f30,axiom,
! [X0] :
( logic_not(not1(X0))
| ~ halfadder(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_not1) ).
fof(f31,axiom,
! [X0] :
( ~ halfadder(X0)
| logic_or(or1(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_or1) ).
fof(f32,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(in1(X0),in1(or1(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1or1) ).
fof(f36,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(outs(X0),out1(and1(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outs_out1and1) ).
fof(f37,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(outc(X0),out1(and2(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outc_out1and2) ).
fof(f38,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(out1(or1(X0)),in1(and1(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1or1_in1_and1) ).
fof(f39,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(out1(and2(X0)),in1(not1(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1and2_in1not1) ).
fof(f40,axiom,
! [X0] :
( ~ halfadder(X0)
| connection(out1(not1(X0)),in2(and1(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1not1_in2and1) ).
fof(f41,axiom,
halfadder(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_isa_halfadder) ).
fof(f42,axiom,
one(in1(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).
fof(f44,axiom,
zero(outs(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_0) ).
fof(f45,axiom,
zero(outc(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
fof(f46,negated_conjecture,
~ abnormal(and1(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1) ).
fof(f47,negated_conjecture,
~ abnormal(not1(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1) ).
fof(f48,negated_conjecture,
~ abnormal(or1(h)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1) ).
fof(f53,plain,
! [X0] :
( ~ zero(out1(X0))
| or_ok(X0)
| zero(in1(X0)) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f56,plain,
! [X0] :
( ~ or_ok(X0)
| logic_or(X0)
| abnormal(X0) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f57,plain,
! [X0] :
( ~ logic_or(or1(X0))
| ~ halfadder(X0) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f58,plain,
~ zero(in1(h)),
inference(resolution,[],[f5,f42]) ).
fof(f59,plain,
! [X0] :
( and_ok(and1(X0))
| abnormal(and1(X0))
| ~ halfadder(X0) ),
inference(resolution,[],[f13,f28]) ).
fof(f61,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(not1(X0))
| not_ok(not1(X0)) ),
inference(resolution,[],[f27,f30]) ).
fof(f62,plain,
connection(in1(h),in1(or1(h))),
inference(resolution,[],[f32,f41]) ).
fof(f64,plain,
( ~ zero(in1(or1(h)))
| zero(in1(h)) ),
inference(resolution,[],[f62,f3]) ).
fof(f68,plain,
~ zero(in1(or1(h))),
inference(forward_subsumption_resolution,[],[f64,f58]) ).
fof(f88,plain,
connection(outs(h),out1(and1(h))),
inference(resolution,[],[f36,f41]) ).
fof(f89,plain,
connection(outc(h),out1(and2(h))),
inference(resolution,[],[f37,f41]) ).
fof(f97,definition,
( spl0_4
<=> or_ok(or1(h)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f98,plain,
( ~ or_ok(or1(h))
| spl0_4 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f99,plain,
( or_ok(or1(h))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f120,plain,
connection(out1(or1(h)),in1(and1(h))),
inference(resolution,[],[f38,f41]) ).
fof(f121,plain,
connection(out1(and2(h)),in1(not1(h))),
inference(resolution,[],[f39,f41]) ).
fof(f122,plain,
connection(out1(not1(h)),in2(and1(h))),
inference(resolution,[],[f40,f41]) ).
fof(f139,plain,
( ~ zero(outs(h))
| zero(out1(and1(h))) ),
inference(resolution,[],[f88,f1]) ).
fof(f140,plain,
zero(out1(and1(h))),
inference(forward_subsumption_resolution,[],[f139,f44]) ).
fof(f151,plain,
( ~ one(out1(and2(h)))
| one(outc(h)) ),
inference(resolution,[],[f89,f4]) ).
fof(f157,definition,
( spl0_10
<=> one(out1(and2(h))) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f161,definition,
( spl0_11
<=> one(outc(h)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f162,plain,
( one(outc(h))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f165,plain,
( spl0_11
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f151,f157,f161]) ).
fof(f167,plain,
( ~ zero(in1(and1(h)))
| zero(out1(or1(h))) ),
inference(resolution,[],[f120,f3]) ).
fof(f171,definition,
( spl0_12
<=> zero(in1(and1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f172,plain,
( ~ zero(in1(and1(h)))
| spl0_12 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f175,definition,
( spl0_13
<=> zero(out1(or1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f176,plain,
( zero(out1(or1(h)))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f184,plain,
( spl0_13
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f167,f171,f175]) ).
fof(f186,plain,
( ~ one(in1(not1(h)))
| one(out1(and2(h))) ),
inference(resolution,[],[f121,f4]) ).
fof(f200,definition,
( spl0_17
<=> one(in1(not1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f201,plain,
( ~ one(in1(not1(h)))
| spl0_17 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f205,plain,
( spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f186,f200,f157]) ).
fof(f207,plain,
( ~ zero(in2(and1(h)))
| zero(out1(not1(h))) ),
inference(resolution,[],[f122,f3]) ).
fof(f211,definition,
( spl0_18
<=> zero(in2(and1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f212,plain,
( ~ zero(in2(and1(h)))
| spl0_18 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f215,definition,
( spl0_19
<=> zero(out1(not1(h))) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f216,plain,
( zero(out1(not1(h)))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f228,plain,
( spl0_19
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f207,f211,f215]) ).
fof(f231,plain,
( logic_or(or1(h))
| abnormal(or1(h))
| ~ spl0_4 ),
inference(resolution,[],[f99,f56]) ).
fof(f232,plain,
( logic_or(or1(h))
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f231,f48]) ).
fof(f234,plain,
( abnormal(not1(h))
| not_ok(not1(h)) ),
inference(resolution,[],[f61,f41]) ).
fof(f235,plain,
not_ok(not1(h)),
inference(forward_subsumption_resolution,[],[f234,f47]) ).
fof(f239,plain,
( ~ halfadder(h)
| ~ spl0_4 ),
inference(resolution,[],[f232,f57]) ).
fof(f240,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f239,f41]) ).
fof(f241,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f249,plain,
( ~ zero(outc(h))
| ~ spl0_11 ),
inference(resolution,[],[f162,f5]) ).
fof(f250,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f249,f45]) ).
fof(f251,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f283,plain,
( or_ok(or1(h))
| zero(in1(or1(h)))
| ~ spl0_13 ),
inference(resolution,[],[f176,f53]) ).
fof(f285,plain,
( zero(in1(or1(h)))
| spl0_4
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f283,f98]) ).
fof(f286,plain,
( $false
| spl0_4
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f285,f68]) ).
fof(f287,plain,
( spl0_4
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f314,plain,
( ~ not_ok(not1(h))
| one(in1(not1(h)))
| ~ spl0_19 ),
inference(resolution,[],[f216,f24]) ).
fof(f315,plain,
( one(in1(not1(h)))
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f314,f235]) ).
fof(f316,plain,
( $false
| spl0_17
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f315,f201]) ).
fof(f317,plain,
( spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f318,plain,
( ~ zero(out1(and1(h)))
| zero(in1(and1(h)))
| ~ and_ok(and1(h))
| spl0_18 ),
inference(resolution,[],[f212,f9]) ).
fof(f320,plain,
( zero(in1(and1(h)))
| ~ and_ok(and1(h))
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f318,f140]) ).
fof(f321,plain,
( ~ and_ok(and1(h))
| spl0_12
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f320,f172]) ).
fof(f342,plain,
( abnormal(and1(h))
| ~ halfadder(h)
| spl0_12
| spl0_18 ),
inference(resolution,[],[f321,f59]) ).
fof(f343,plain,
( ~ halfadder(h)
| spl0_12
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f342,f46]) ).
fof(f344,plain,
( $false
| spl0_12
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f343,f41]) ).
fof(f345,plain,
( spl0_12
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f344]) ).
cnf(s9,plain,
( ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f165]) ).
cnf(s12,plain,
( ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f184]) ).
cnf(s17,plain,
( spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f205]) ).
cnf(s20,plain,
( ~ spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f228]) ).
cnf(s23,plain,
~ spl0_4,
inference(sat_conversion,[],[f241]) ).
cnf(s25,plain,
~ spl0_11,
inference(sat_conversion,[],[f251]) ).
cnf(s31,plain,
( spl0_4
| ~ spl0_13 ),
inference(sat_conversion,[],[f287]) ).
cnf(s35,plain,
( spl0_17
| ~ spl0_19 ),
inference(sat_conversion,[],[f317]) ).
cnf(s37,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f345]) ).
cnf(s38,plain,
~ spl0_13,
inference(rat,[],[s31,s23]) ).
cnf(s42,plain,
~ spl0_12,
inference(rat,[],[s12,s38]) ).
cnf(s43,plain,
spl0_18,
inference(rat,[],[s37,s42]) ).
cnf(s45,plain,
spl0_19,
inference(rat,[],[s20,s43]) ).
cnf(s46,plain,
spl0_17,
inference(rat,[],[s35,s45]) ).
cnf(s47,plain,
spl0_10,
inference(rat,[],[s17,s46]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s9,s25,s47]) ).
fof(f346,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV005-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:53:15 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (2221491)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (2221497)% WARNING: option uhcvi not known.
% 0.12/0.45 % (2221497)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4206525316:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45 % (2221497) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2221491-2221497"...
% 0.12/0.45 % (2221497)...printing done.
% 0.12/0.45 % (2221497)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (2221497)------------------------------
% 0.12/0.46 % (2221497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (2221497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (2221497)CaDiCaL version: 2.1.3
% 0.12/0.46 % (2221497)Termination reason: Refutation
% 0.12/0.46 % (2221497)Time elapsed: 0.004 s
% 0.12/0.46 % (2221497)Peak memory usage: 12 MB
% 0.12/0.46 % (2221497)Instructions burned: 7 (million)
% 0.12/0.46 % (2221491)Success in time 0.034 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------