%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWC003-1 : 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 : n010.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 8.71s 2.65s
% Output : Refutation 8.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 28 unt; 0 def)
% Number of atoms : 37 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-10 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-8 aty)
% Number of variables : 60 ( 60 !; 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,X9,X7,X4,X5] :
( ~ test(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| output(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',create_test) ).
fof(f27,negated_conjecture,
! [X0] : output(n0,n0,n0,n0,n1,n1,n1,n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',input1) ).
fof(f28,negated_conjecture,
! [X0] : output(n0,n0,n1,n1,n0,n0,n1,n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',input2) ).
fof(f29,negated_conjecture,
! [X0] : output(n0,n1,n0,n1,n0,n1,n0,n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',input3) ).
fof(f30,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(f31,plain,
! [X2,X0,X1] : list(X2,list(X0,X1)) = list(X0,list(X2,X1)),
inference(definition_unfolding,[],[f11,f12,f12]) ).
fof(f33,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,
! [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,[],[f33,f27]) ).
fof(f35,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,[],[f33,f28]) ).
fof(f36,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,[],[f33,f29]) ).
fof(f37,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,[],[f34,f10]) ).
fof(f38,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,[],[f35,f10]) ).
fof(f39,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,[],[f36,f10]) ).
fof(f40,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,[],[f37,f8]) ).
fof(f41,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,[],[f38,f8]) ).
fof(f42,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,[],[f39,f8]) ).
fof(f59,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,f40]) ).
fof(f60,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,f42]) ).
fof(f61,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,f41]) ).
fof(f373,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,[],[f59,f31]) ).
fof(f377,plain,
! [X0,X1] : output(n1,n1,n0,n0,n1,n1,n0,n0,list(X0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),X1))),
inference(superposition,[],[f61,f31]) ).
fof(f379,plain,
! [X0] : ~ output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),X0))),
inference(unit_resulting_resolution,[],[f30,f60,f377]) ).
fof(f513,plain,
! [X0,X1] : ~ output(n1,n1,n1,n1,n0,n0,n0,n0,list(inverter_table(n1,n0,n1,n0,n1,n0,n1,n0),list(X0,list(inverter_table(n1,n1,n0,n0,n1,n1,n0,n0),X1)))),
inference(superposition,[],[f379,f31]) ).
fof(f793,plain,
$false,
inference(unit_resulting_resolution,[],[f513,f373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWC003-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.48 % Computer : n010.cluster.edu
% 0.20/0.48 % Model : x86_64 x86_64
% 0.20/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.48 % Memory : 8046.5625MB
% 0.20/0.48 % OS : Linux 6.8.0-71-generic
% 0.20/0.48 % CPULimit : 300
% 0.20/0.48 % WCLimit : 300
% 0.20/0.48 % DateTime : Sun Sep 27 10:52:16 UTC 2026
% 0.20/0.49 % CPUTime :
% 0.20/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.55 Running first-order theorem proving
% 0.25/0.55 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
% 6.53/2.43 % (789759)Input is clausal, will run a generic CNF schedule.
% 6.53/2.43 % (789765)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=921398848:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.53/2.43 % (789764)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=2771733927:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.53/2.43 % (789767)lrs+10_1_sil=8000:sp=occurrence:random_seed=3203375735:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.53/2.43 % (789766)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3223036830:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.53/2.43 % (789768)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3819316467:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.53/2.43 % (789768)Refutation not found, incomplete strategy
% 6.53/2.43 % (789768)------------------------------
% 6.53/2.43 % (789768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/2.43 % (789768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/2.43 % (789768)CaDiCaL version: 2.1.3
% 6.53/2.43 % (789768)Termination reason: Refutation not found, incomplete strategy
% 6.53/2.43 % (789768)Time elapsed: 0.002 s
% 6.53/2.43 % (789768)Peak memory usage: 87 MB
% 6.53/2.43 % (789769)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2885666036:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.53/2.43 % (789770)dis-21_1_sil=8000:lcm=predicate:random_seed=1321298456: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)
% 6.53/2.43 % (789770)Refutation not found, incomplete strategy
% 6.53/2.43 % (789770)------------------------------
% 6.53/2.43 % (789770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/2.43 % (789770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/2.43 % (789770)CaDiCaL version: 2.1.3
% 6.53/2.43 % (789770)Termination reason: Refutation not found, incomplete strategy
% 6.53/2.43 % (789770)Time elapsed: 0.003 s
% 6.53/2.43 % (789770)Peak memory usage: 88 MB
% 6.53/2.43 % (789770)Instructions burned: 2 (million)
% 6.53/2.43 % (789767)Instruction limit reached!
% 6.53/2.43 % (789767)------------------------------
% 6.53/2.43 % (789767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/2.43 % (789767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/2.43 % (789767)CaDiCaL version: 2.1.3
% 6.53/2.43 % (789767)Termination reason: Instruction limit
% 6.53/2.43 % (789767)Termination phase: Saturation
% 6.53/2.43 % (789767)Time elapsed: 0.097 s
% 6.53/2.43 % (789767)Peak memory usage: 89 MB
% 6.53/2.43 % (789767)Instructions burned: 108 (million)
% 6.53/2.43 % (789769)Instruction limit reached!
% 6.53/2.43 % (789769)------------------------------
% 6.53/2.43 % (789769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/2.43 % (789769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/2.43 % (789769)CaDiCaL version: 2.1.3
% 6.53/2.43 % (789769)Termination reason: Instruction limit
% 6.53/2.43 % (789769)Termination phase: Saturation
% 6.53/2.43 % (789769)Time elapsed: 0.146 s
% 6.53/2.43 % (789769)Peak memory usage: 89 MB
% 6.53/2.43 % (789769)Instructions burned: 180 (million)
% 6.53/2.43 % (789768)------------------------------
% 6.53/2.43 % (789768)------------------------------
% 6.53/2.43 % (789770)------------------------------
% 6.53/2.43 % (789770)------------------------------
% 6.53/2.43 % (789778)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=2681062075:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 6.53/2.43 % (789778)Refutation not found, incomplete strategy
% 6.53/2.43 % (789778)------------------------------
% 6.53/2.43 % (789778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.53/2.43 % (789778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.53/2.43 % (789778)CaDiCaL version: 2.1.3
% 6.53/2.43 % (789778)Termination reason: Refutation not found, incomplete strategy
% 6.53/2.43 % (789778)Time elapsed: 0.004 s
% 6.53/2.43 % (789778)Peak memory usage: 88 MB
% 8.71/2.65 % (789778)Instructions burned: 2 (million)
% 8.71/2.65 % (789779)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3076350401:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 8.71/2.65 % (789765)First to succeed.
% 8.71/2.65 % (789765)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-789759"
% 8.71/2.65 % (789779)Instruction limit reached!
% 8.71/2.65 % (789779)------------------------------
% 8.71/2.65 % (789779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.65 % (789779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.65 % (789779)CaDiCaL version: 2.1.3
% 8.71/2.65 % (789779)Termination reason: Instruction limit
% 8.71/2.65 % (789779)Termination phase: Saturation
% 8.71/2.65 % (789779)Time elapsed: 0.146 s
% 8.71/2.65 % (789779)Peak memory usage: 89 MB
% 8.71/2.65 % (789779)Instructions burned: 189 (million)
% 8.71/2.65 % (789781)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2887612738:st=4:i=219:sd=3:ss=axioms_2992 on theBenchmark for (2992ds/219Mi)
% 8.71/2.65 % (789781)Refutation not found, incomplete strategy
% 8.71/2.65 % (789781)------------------------------
% 8.71/2.65 % (789781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.65 % (789781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.65 % (789781)CaDiCaL version: 2.1.3
% 8.71/2.65 % (789781)Termination reason: Refutation not found, incomplete strategy
% 8.71/2.65 % (789781)Time elapsed: 0.003 s
% 8.71/2.65 % (789781)Peak memory usage: 88 MB
% 8.71/2.65 % (789781)Instructions burned: 2 (million)
% 8.71/2.65 % (789783)lrs+10_64_to=lpo:sil=8000:random_seed=2182380089:i=126:bd=preordered_2992 on theBenchmark for (2992ds/126Mi)
% 8.71/2.65 % (789765)Refutation found. Thanks to Tanya!
% 8.71/2.65 % SZS status Unsatisfiable for theBenchmark
% 8.71/2.65 % SZS output start Proof for theBenchmark
% See solution above
% 8.71/2.65 % (789765)------------------------------
% 8.71/2.65 % (789765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.65 % (789765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.65 % (789765)CaDiCaL version: 2.1.3
% 8.71/2.65 % (789765)Termination reason: Refutation
% 8.71/2.65 % (789765)Time elapsed: 0.618 s
% 8.71/2.65 % (789765)Peak memory usage: 129 MB
% 8.71/2.65 % (789765)Instructions burned: 1017 (million)
% 8.71/2.65 % (789765)------------------------------
% 8.71/2.65 % (789765)------------------------------
% 8.71/2.65 % (789759)Success in time 1.105 s
% 8.71/2.65 % Vampire exiting
%------------------------------------------------------------------------------