%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL075-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 11:51:07 AM UTC 2026
% Result : Unsatisfiable 5.10s 1.63s
% Output : Refutation 5.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 10 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4),implies(implies(X4,X0),implies(X3,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_CAMeredith) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_3) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(unit_resulting_resolution,[],[f1,f2,f2]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(unit_resulting_resolution,[],[f1,f2,f4]) ).
fof(f17,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(unit_resulting_resolution,[],[f1,f2,f10]) ).
fof(f22,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(unit_resulting_resolution,[],[f1,f17,f17]) ).
fof(f77,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))),
inference(unit_resulting_resolution,[],[f1,f2,f22]) ).
fof(f138,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(unit_resulting_resolution,[],[f1,f2,f77]) ).
fof(f163,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),not(X1)),X0),X2),implies(X1,X2))),
inference(unit_resulting_resolution,[],[f1,f2,f138]) ).
fof(f204,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f3,f138,f163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL075-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.37 % Computer : n020.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 15:21:19 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 5.10/1.62 % (3522077)Input is clausal, will run a generic CNF schedule.
% 5.10/1.62 % (3522180)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2093001579:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.10/1.62 % (3522181)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3974711417:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.10/1.62 % (3522185)dis-21_1_sil=8000:lcm=predicate:random_seed=1467215802: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)
% 5.10/1.62 % (3522182)lrs+10_1_sil=8000:sp=occurrence:random_seed=92660638:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.10/1.62 % (3522184)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3309855989:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.10/1.62 % (3522179)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=3321703508:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.10/1.63 % (3522183)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1766601202:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.10/1.63 % (3522182)Instruction limit reached!
% 5.10/1.63 % (3522182)------------------------------
% 5.10/1.63 % (3522182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.63 % (3522182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.63 % (3522182)CaDiCaL version: 2.1.3
% 5.10/1.63 % (3522182)Termination reason: Instruction limit
% 5.10/1.63 % (3522182)Termination phase: Saturation
% 5.10/1.63 % (3522182)Time elapsed: 0.070 s
% 5.10/1.63 % (3522182)Peak memory usage: 89 MB
% 5.10/1.63 % (3522182)Instructions burned: 108 (million)
% 5.10/1.63 % (3522185)Instruction limit reached!
% 5.10/1.63 % (3522185)------------------------------
% 5.10/1.63 % (3522185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.63 % (3522185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.63 % (3522185)CaDiCaL version: 2.1.3
% 5.10/1.63 % (3522185)Termination reason: Instruction limit
% 5.10/1.63 % (3522185)Termination phase: Saturation
% 5.10/1.63 % (3522185)Time elapsed: 0.071 s
% 5.10/1.63 % (3522185)Peak memory usage: 89 MB
% 5.10/1.63 % (3522185)Instructions burned: 118 (million)
% 5.10/1.63 % (3522183)Instruction limit reached!
% 5.10/1.63 % (3522183)------------------------------
% 5.10/1.63 % (3522183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.63 % (3522183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.63 % (3522183)CaDiCaL version: 2.1.3
% 5.10/1.63 % (3522183)Termination reason: Instruction limit
% 5.10/1.63 % (3522183)Termination phase: Saturation
% 5.10/1.63 % (3522183)Time elapsed: 0.077 s
% 5.10/1.63 % (3522183)Peak memory usage: 88 MB
% 5.10/1.63 % (3522183)Instructions burned: 114 (million)
% 5.10/1.63 % (3522184)Instruction limit reached!
% 5.10/1.63 % (3522184)------------------------------
% 5.10/1.63 % (3522184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.63 % (3522184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.63 % (3522184)CaDiCaL version: 2.1.3
% 5.10/1.63 % (3522184)Termination reason: Instruction limit
% 5.10/1.63 % (3522184)Termination phase: Saturation
% 5.10/1.63 % (3522184)Time elapsed: 0.149 s
% 5.10/1.63 % (3522184)Peak memory usage: 89 MB
% 5.10/1.63 % (3522184)Instructions burned: 180 (million)
% 5.10/1.63 % (3522208)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1541176387:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.10/1.63 % (3522206)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=2394523557:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.10/1.63 % (3522207)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1250739140: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)
% 5.10/1.63 % (3522206)Refutation not found, incomplete strategy
% 5.10/1.63 % (3522206)------------------------------
% 5.10/1.63 % (3522206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.63 % (3522208)Refutation not found, incomplete strategy
% 5.10/1.63 % (3522208)------------------------------
% 5.10/1.63 % (3522208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.63 % (3522208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.63 % (3522206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.63 % (3522208)CaDiCaL version: 2.1.3
% 5.10/1.63 % (3522206)CaDiCaL version: 2.1.3
% 5.10/1.63 % (3522208)Termination reason: Refutation not found, incomplete strategy
% 5.10/1.63 % (3522208)Time elapsed: 0.001 s
% 5.10/1.63 % (3522206)Termination reason: Refutation not found, incomplete strategy
% 5.10/1.63 % (3522206)Time elapsed: 0.001 s
% 5.10/1.63 % (3522208)Peak memory usage: 86 MB
% 5.10/1.63 % (3522206)Peak memory usage: 86 MB
% 5.10/1.63 % (3522180)First to succeed.
% 5.10/1.63 % (3522180)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3522077"
% 5.10/1.63 % (3522207)Instruction limit reached!
% 5.10/1.63 % (3522207)------------------------------
% 5.10/1.63 % (3522207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.63 % (3522207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.63 % (3522207)CaDiCaL version: 2.1.3
% 5.10/1.63 % (3522207)Termination reason: Instruction limit
% 5.10/1.63 % (3522207)Termination phase: Saturation
% 5.10/1.63 % (3522207)Time elapsed: 0.106 s
% 5.10/1.63 % (3522207)Peak memory usage: 87 MB
% 5.10/1.63 % (3522207)Instructions burned: 189 (million)
% 5.10/1.63 % (3522209)lrs+10_64_to=lpo:sil=8000:random_seed=2946343853:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.10/1.63 % (3522209)Also succeeded, but the first one will report.
% 5.10/1.63 % (3522208)------------------------------
% 5.10/1.63 % (3522208)------------------------------
% 5.10/1.63 % (3522206)------------------------------
% 5.10/1.63 % (3522206)------------------------------
% 5.10/1.63 % (3522180)Refutation found. Thanks to Tanya!
% 5.10/1.63 % SZS status Unsatisfiable for theBenchmark
% 5.10/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 5.10/1.63 % (3522180)------------------------------
% 5.10/1.63 % (3522180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.10/1.63 % (3522180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.63 % (3522180)CaDiCaL version: 2.1.3
% 5.10/1.63 % (3522180)Termination reason: Refutation
% 5.10/1.63 % (3522180)Time elapsed: 0.350 s
% 5.10/1.63 % (3522180)Peak memory usage: 128 MB
% 5.10/1.63 % (3522180)Instructions burned: 946 (million)
% 5.10/1.63 % (3522180)------------------------------
% 5.10/1.63 % (3522180)------------------------------
% 5.10/1.63 % (3522077)Success in time 0.642 s
% 5.10/1.63 % Vampire exiting
%------------------------------------------------------------------------------