%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL044-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:51:01 AM UTC 2026
% Result : Unsatisfiable 2.46s 1.08s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 14 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_21) ).
fof(f6,axiom,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_54) ).
fof(f7,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_40) ).
fof(f8,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(a,not(not(a)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f7]) ).
fof(f10,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(a,not(not(a))))))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f8,f1]) ).
fof(f20,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),implies(a,not(not(a)))))
| ~ is_a_theorem(implies(X0,implies(a,not(not(a))))) ),
inference(resolution,[],[f10,f6]) ).
fof(f28,plain,
~ is_a_theorem(implies(not(a),implies(a,not(not(a))))),
inference(resolution,[],[f20,f3]) ).
fof(f38,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(not(a),implies(a,not(not(a))))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f28,f1]) ).
fof(f73,plain,
~ is_a_theorem(implies(a,implies(not(a),not(not(a))))),
inference(resolution,[],[f38,f4]) ).
fof(f75,plain,
$false,
inference(forward_subsumption_resolution,[],[f73,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL044-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 15:18:19 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.33 Running first-order theorem proving
% 0.04/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.46/1.08 % (2496513)Input is clausal, will run a generic CNF schedule.
% 2.46/1.08 % (2496537)lrs+10_1_sil=8000:sp=occurrence:random_seed=3884420606:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 2.46/1.08 % (2496535)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1103493238:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 2.46/1.08 % (2496536)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4034912725:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 2.46/1.08 % (2496540)dis-21_1_sil=8000:lcm=predicate:random_seed=3775738349:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 2.46/1.08 % (2496539)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1387961147:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 2.46/1.08 % (2496534)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=1272989867:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 2.46/1.08 % (2496538)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2177323083:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 2.46/1.08 % (2496539)First to succeed.
% 2.46/1.08 % (2496539)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2496513"
% 2.46/1.08 % (2496537)Also succeeded, but the first one will report.
% 2.46/1.08 % (2496538)Also succeeded, but the first one will report.
% 2.46/1.08 % (2496540)Also succeeded, but the first one will report.
% 2.46/1.08 % (2496539)Refutation found. Thanks to Tanya!
% 2.46/1.08 % SZS status Unsatisfiable for theBenchmark
% 2.46/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 2.46/1.08 % (2496539)------------------------------
% 2.46/1.08 % (2496539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.08 % (2496539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.08 % (2496539)CaDiCaL version: 2.1.3
% 2.46/1.08 % (2496539)Termination reason: Refutation
% 2.46/1.08 % (2496539)Time elapsed: 0.002 s
% 2.46/1.08 % (2496539)Peak memory usage: 88 MB
% 2.46/1.08 % (2496539)Instructions burned: 4 (million)
% 2.46/1.08 % (2496539)------------------------------
% 2.46/1.08 % (2496539)------------------------------
% 2.46/1.08 % (2496513)Success in time 0.294 s
% 2.46/1.08 % Vampire exiting
%------------------------------------------------------------------------------