%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWC003-2 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 10:19:22 AM UTC 2026
% Result : Unsatisfiable 5.40s 1.54s
% Output : Refutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 30 unt; 0 def)
% Number of atoms : 41 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-10 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-8 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
not(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_definition1) ).
fof(f8,plain,
n1 = not(n0),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
not(n1) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_definition2) ).
fof(f10,plain,
n0 = not(n1),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X2,X0,X1] : add_inverter(list(X0,X1),X2) = list(X0,add_inverter(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_inverter_definition1) ).
fof(f12,axiom,
! [X0,X1] : add_inverter(X0,X1) = list(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_inverter_definition2) ).
fof(f14,axiom,
! [X0] : make_reverse_list(X0) = end,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_reverse_list_definition2) ).
fof(f25,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ output(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| test(not(X0),not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7),add_inverter(X8,inverter_table(not(X0),not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7))),make_reverse_list(list(inverter_table(not(X0),not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7)),X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverter_test) ).
fof(f26,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( output(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ basic_output(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',basic_output_definition) ).
fof(f27,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ test(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| basic_output(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',create_test) ).
fof(f28,negated_conjecture,
! [X0] : output(n0,n0,n0,n0,n1,n1,n1,n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',input1) ).
fof(f29,negated_conjecture,
! [X0] : output(n0,n0,n1,n1,n0,n0,n1,n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',input2) ).
fof(f30,negated_conjecture,
! [X0] : output(n0,n1,n0,n1,n0,n1,n0,n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',input3) ).
fof(f31,negated_conjecture,
! [X0] :
( ~ output(n1,n1,n1,n1,n0,n0,n0,n0,X0)
| ~ output(n1,n1,n0,n0,n1,n1,n0,n0,X0)
| ~ output(n1,n0,n1,n0,n1,n0,n1,n0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cannot_construct_this) ).
fof(f32,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( test(not(X0),not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7),list(inverter_table(not(X0),not(X1),not(X2),not(X3),not(X4),not(X5),not(X6),not(X7)),X8),end)
| ~ output(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(definition_unfolding,[],[f25,f12,f14]) ).
fof(f34,plain,
! [X2,X0,X1] : list(X2,list(X0,X1)) = list(X0,list(X2,X1)),
inference(definition_unfolding,[],[f11,f12,f12]) ).
fof(f35,plain,
! [X0] : test(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n0),not(n0),not(n1),not(n1),not(n1),not(n1)),X0),end),
inference(unit_resulting_resolution,[],[f32,f28]) ).
fof(f36,plain,
! [X0] : test(not(n0),not(n0),not(n0),not(n0),n0,n0,n0,n0,list(inverter_table(not(n0),not(n0),not(n0),not(n0),n0,n0,n0,n0),X0),end),
inference(forward_demodulation,[],[f35,f10]) ).
fof(f37,plain,
! [X0] : test(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),X0),end),
inference(forward_demodulation,[],[f36,f8]) ).
fof(f38,plain,
! [X0] : test(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1),list(inverter_table(not(n0),not(n0),not(n1),not(n1),not(n0),not(n0),not(n1),not(n1)),X0),end),
inference(unit_resulting_resolution,[],[f32,f29]) ).
fof(f39,plain,
! [X0] : test(not(n0),not(n0),n0,n0,not(n0),not(n0),n0,n0,list(inverter_table(not(n0),not(n0),n0,n0,not(n0),not(n0),n0,n0),X0),end),
inference(forward_demodulation,[],[f38,f10]) ).
fof(f40,plain,
! [X0] : test(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),X0),end),
inference(forward_demodulation,[],[f39,f8]) ).
fof(f41,plain,
! [X0] : test(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),list(inverter_table(not(n0),not(n1),not(n0),not(n1),not(n0),not(n1),not(n0),not(n1)),X0),end),
inference(unit_resulting_resolution,[],[f32,f30]) ).
fof(f42,plain,
! [X0] : test(not(n0),n0,not(n0),n0,not(n0),n0,not(n0),n0,list(inverter_table(not(n0),n0,not(n0),n0,not(n0),n0,not(n0),n0),X0),end),
inference(forward_demodulation,[],[f41,f10]) ).
fof(f43,plain,
! [X0] : test(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X0),end),
inference(forward_demodulation,[],[f42,f8]) ).
fof(f44,plain,
! [X0] : basic_output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),X0)),
inference(unit_resulting_resolution,[],[f27,f37]) ).
fof(f47,plain,
! [X0] : basic_output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),X0)),
inference(unit_resulting_resolution,[],[f27,f40]) ).
fof(f55,plain,
! [X0] : output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),X0)),
inference(unit_resulting_resolution,[],[f26,f44]) ).
fof(f72,plain,
! [X0] : basic_output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X0)),
inference(unit_resulting_resolution,[],[f27,f43]) ).
fof(f80,plain,
! [X0] : output(n1,n1,n0,n0,n1,n1,n0,n0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),X0)),
inference(unit_resulting_resolution,[],[f26,f47]) ).
fof(f102,plain,
! [X0] : output(n1,n0,n1,n0,n1,n0,n1,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X0)),
inference(unit_resulting_resolution,[],[f26,f72]) ).
fof(f122,plain,
! [X0,X1] : output(n1,n1,n1,n1,n0,n0,n0,n0,list(X0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),X1))),
inference(superposition,[],[f55,f34]) ).
fof(f219,plain,
! [X0,X1] : output(n1,n0,n1,n0,n1,n0,n1,n0,list(X0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),X1))),
inference(superposition,[],[f102,f34]) ).
fof(f577,plain,
! [X2,X0,X1] : output(n1,n1,n1,n1,n0,n0,n0,n0,list(X2,list(X0,list(inverter_table(n1,n1,n1,n1,n0,n0,n0,n0),X1)))),
inference(superposition,[],[f122,f34]) ).
fof(f1421,plain,
$false,
inference(unit_resulting_resolution,[],[f31,f219,f80,f577]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWC003-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.35 % Computer : n012.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 27 10:51:35 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.38 Running first-order theorem proving
% 0.07/0.38 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.75/1.41 % (2206346)Input is clausal, will run a generic CNF schedule.
% 2.75/1.41 % (2206357)dis-21_1_sil=8000:lcm=predicate:random_seed=3445803841:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.75/1.41 % (2206352)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1730424723:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.75/1.41 % (2206353)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2548574595:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.75/1.41 % (2206355)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=799206458:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.75/1.41 % (2206354)lrs+10_1_sil=8000:sp=occurrence:random_seed=770675691:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.75/1.41 % (2206356)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1143625649:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.75/1.41 % (2206351)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3461272360:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.75/1.41 % (2206355)Refutation not found, incomplete strategy
% 2.75/1.41 % (2206355)------------------------------
% 2.75/1.41 % (2206355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.41 % (2206355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.41 % (2206355)CaDiCaL version: 2.1.3
% 2.75/1.41 % (2206355)Termination reason: Refutation not found, incomplete strategy
% 2.75/1.41 % (2206355)Time elapsed: 0.001 s
% 2.75/1.41 % (2206355)Peak memory usage: 87 MB
% 2.75/1.41 % (2206357)Refutation not found, incomplete strategy
% 2.75/1.41 % (2206357)------------------------------
% 2.75/1.41 % (2206357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.41 % (2206357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.41 % (2206357)CaDiCaL version: 2.1.3
% 2.75/1.41 % (2206357)Termination reason: Refutation not found, incomplete strategy
% 2.75/1.41 % (2206357)Time elapsed: 0.001 s
% 2.75/1.41 % (2206357)Peak memory usage: 88 MB
% 2.75/1.41 % (2206357)Instructions burned: 3 (million)
% 2.75/1.41 % (2206354)Instruction limit reached!
% 2.75/1.41 % (2206354)------------------------------
% 2.75/1.41 % (2206354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.41 % (2206354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.41 % (2206354)CaDiCaL version: 2.1.3
% 2.75/1.41 % (2206354)Termination reason: Instruction limit
% 2.75/1.41 % (2206354)Termination phase: Saturation
% 2.75/1.41 % (2206354)Time elapsed: 0.049 s
% 2.75/1.41 % (2206354)Peak memory usage: 88 MB
% 2.75/1.41 % (2206354)Instructions burned: 108 (million)
% 2.75/1.41 % (2206356)Instruction limit reached!
% 2.75/1.41 % (2206356)------------------------------
% 2.75/1.41 % (2206356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.41 % (2206356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.41 % (2206356)CaDiCaL version: 2.1.3
% 2.75/1.41 % (2206356)Termination reason: Instruction limit
% 2.75/1.41 % (2206356)Termination phase: Saturation
% 2.75/1.41 % (2206356)Time elapsed: 0.081 s
% 2.75/1.41 % (2206356)Peak memory usage: 90 MB
% 2.75/1.41 % (2206356)Instructions burned: 180 (million)
% 2.75/1.41 % (2206357)------------------------------
% 2.75/1.41 % (2206357)------------------------------
% 2.75/1.41 % (2206355)------------------------------
% 2.75/1.41 % (2206355)------------------------------
% 2.75/1.41 % (2206365)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4219378361:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.75/1.41 % (2206366)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2844293400:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.75/1.41 % (2206365)Refutation not found, incomplete strategy
% 2.75/1.41 % (2206365)------------------------------
% 2.75/1.41 % (2206365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.54 % (2206365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.54 % (2206365)CaDiCaL version: 2.1.3
% 5.40/1.54 % (2206365)Termination reason: Refutation not found, incomplete strategy
% 5.40/1.54 % (2206365)Time elapsed: 0.002 s
% 5.40/1.54 % (2206365)Peak memory usage: 87 MB
% 5.40/1.54 % (2206365)Instructions burned: 2 (million)
% 5.40/1.54 % (2206366)First to succeed.
% 5.40/1.54 % (2206366)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2206346"
% 5.40/1.54 % (2206368)lrs+10_64_to=lpo:sil=8000:random_seed=1603837791:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.40/1.54 % (2206368)Instruction limit reached!
% 5.40/1.54 % (2206368)------------------------------
% 5.40/1.54 % (2206368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.54 % (2206368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.54 % (2206368)CaDiCaL version: 2.1.3
% 5.40/1.54 % (2206368)Termination reason: Instruction limit
% 5.40/1.54 % (2206368)Termination phase: Saturation
% 5.40/1.54 % (2206368)Time elapsed: 0.059 s
% 5.40/1.54 % (2206368)Peak memory usage: 88 MB
% 5.40/1.54 % (2206368)Instructions burned: 127 (million)
% 5.40/1.54 % (2206367)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3589096592:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 5.40/1.54 % (2206367)Refutation not found, incomplete strategy
% 5.40/1.54 % (2206367)------------------------------
% 5.40/1.54 % (2206367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.54 % (2206367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.54 % (2206367)CaDiCaL version: 2.1.3
% 5.40/1.54 % (2206367)Termination reason: Refutation not found, incomplete strategy
% 5.40/1.54 % (2206367)Time elapsed: 0.002 s
% 5.40/1.54 % (2206367)Peak memory usage: 88 MB
% 5.40/1.54 % (2206367)Instructions burned: 2 (million)
% 5.40/1.54 % (2206365)------------------------------
% 5.40/1.54 % (2206365)------------------------------
% 5.40/1.54 % (2206366)Refutation found. Thanks to Tanya!
% 5.40/1.54 % SZS status Unsatisfiable for theBenchmark
% 5.40/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 5.40/1.54 % (2206366)------------------------------
% 5.40/1.54 % (2206366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.40/1.54 % (2206366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.54 % (2206366)CaDiCaL version: 2.1.3
% 5.40/1.54 % (2206366)Termination reason: Refutation
% 5.40/1.54 % (2206366)Time elapsed: 0.030 s
% 5.40/1.54 % (2206366)Peak memory usage: 89 MB
% 5.40/1.54 % (2206366)Instructions burned: 63 (million)
% 5.40/1.54 % (2206366)------------------------------
% 5.40/1.54 % (2206366)------------------------------
% 5.40/1.54 % (2206346)Success in time 0.713 s
% 5.40/1.54 % Vampire exiting
%------------------------------------------------------------------------------