%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL045-1 : 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 : n017.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 5.83s 1.94s
% Output : Refutation 5.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 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 : 30 ( 30 !; 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,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cn_21) ).
fof(f5,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_22) ).
fof(f6,axiom,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_54) ).
fof(f7,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_46) ).
fof(f14,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f4,f1]) ).
fof(f15,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f5,f1]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f14,f1]) ).
fof(f31,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f15,f1]) ).
fof(f42,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f27,f6]) ).
fof(f58,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(not(b),not(a))))
| ~ is_a_theorem(implies(implies(a,b),X0)) ),
inference(resolution,[],[f31,f7]) ).
fof(f146,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(a,b),implies(X0,implies(not(b),not(a)))))
| ~ is_a_theorem(implies(not(X0),implies(not(b),not(a)))) ),
inference(resolution,[],[f42,f58]) ).
fof(f705,plain,
( ~ is_a_theorem(implies(not(a),implies(not(b),not(a))))
| ~ is_a_theorem(implies(b,implies(not(b),not(a)))) ),
inference(resolution,[],[f146,f15]) ).
fof(f713,plain,
~ is_a_theorem(implies(b,implies(not(b),not(a)))),
inference(forward_subsumption_resolution,[],[f705,f3]) ).
fof(f714,plain,
$false,
inference(forward_subsumption_resolution,[],[f713,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL045-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n017.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 15:14:05 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 5.83/1.94 % (2714551)Input is clausal, will run a generic CNF schedule.
% 5.83/1.94 % (2714559)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=144676164:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.83/1.94 % (2714560)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4106143088:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.83/1.94 % (2714558)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=2333465100:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.83/1.94 % (2714563)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=172607246:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.83/1.94 % (2714562)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=488313281:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.83/1.94 % (2714561)lrs+10_1_sil=8000:sp=occurrence:random_seed=4200096407:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.83/1.94 % (2714564)dis-21_1_sil=8000:lcm=predicate:random_seed=3509621328: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)
% 5.83/1.94 % (2714562)First to succeed.
% 5.83/1.94 % (2714562)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2714551"
% 5.83/1.94 % (2714561)Instruction limit reached!
% 5.83/1.94 % (2714561)------------------------------
% 5.83/1.94 % (2714561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.94 % (2714561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.94 % (2714561)CaDiCaL version: 2.1.3
% 5.83/1.94 % (2714561)Termination reason: Instruction limit
% 5.83/1.94 % (2714561)Termination phase: Saturation
% 5.83/1.94 % (2714561)Time elapsed: 0.116 s
% 5.83/1.94 % (2714561)Peak memory usage: 88 MB
% 5.83/1.94 % (2714561)Instructions burned: 107 (million)
% 5.83/1.94 % (2714564)Instruction limit reached!
% 5.83/1.94 % (2714564)------------------------------
% 5.83/1.94 % (2714564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.94 % (2714564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.94 % (2714564)CaDiCaL version: 2.1.3
% 5.83/1.94 % (2714564)Termination reason: Instruction limit
% 5.83/1.94 % (2714564)Termination phase: Saturation
% 5.83/1.94 % (2714564)Time elapsed: 0.104 s
% 5.83/1.94 % (2714564)Peak memory usage: 88 MB
% 5.83/1.94 % (2714564)Instructions burned: 117 (million)
% 5.83/1.94 % (2714563)Instruction limit reached!
% 5.83/1.94 % (2714563)------------------------------
% 5.83/1.94 % (2714563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.94 % (2714563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.94 % (2714563)CaDiCaL version: 2.1.3
% 5.83/1.94 % (2714563)Termination reason: Instruction limit
% 5.83/1.94 % (2714563)Termination phase: Saturation
% 5.83/1.94 % (2714563)Time elapsed: 0.204 s
% 5.83/1.94 % (2714563)Peak memory usage: 89 MB
% 5.83/1.94 % (2714563)Instructions burned: 180 (million)
% 5.83/1.94 % (2714572)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=4039733333:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 5.83/1.94 % (2714572)Refutation not found, incomplete strategy
% 5.83/1.94 % (2714572)------------------------------
% 5.83/1.94 % (2714572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.94 % (2714572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.94 % (2714572)CaDiCaL version: 2.1.3
% 5.83/1.94 % (2714572)Termination reason: Refutation not found, incomplete strategy
% 5.83/1.94 % (2714572)Time elapsed: 0.002 s
% 5.83/1.94 % (2714572)Peak memory usage: 87 MB
% 5.83/1.94 % (2714574)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3978660509:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.83/1.94 % (2714574)Refutation not found, incomplete strategy
% 5.83/1.94 % (2714574)------------------------------
% 5.83/1.94 % (2714574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.94 % (2714574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.94 % (2714574)CaDiCaL version: 2.1.3
% 5.83/1.94 % (2714574)Termination reason: Refutation not found, incomplete strategy
% 5.83/1.94 % (2714574)Time elapsed: 0.001 s
% 5.83/1.94 % (2714574)Peak memory usage: 87 MB
% 5.83/1.94 % (2714562)Refutation found. Thanks to Tanya!
% 5.83/1.94 % SZS status Unsatisfiable for theBenchmark
% 5.83/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 5.83/1.94 % (2714562)------------------------------
% 5.83/1.94 % (2714562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.94 % (2714562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.94 % (2714562)CaDiCaL version: 2.1.3
% 5.83/1.94 % (2714562)Termination reason: Refutation
% 5.83/1.94 % (2714562)Time elapsed: 0.022 s
% 5.83/1.94 % (2714562)Peak memory usage: 88 MB
% 5.83/1.94 % (2714562)Instructions burned: 19 (million)
% 5.83/1.94 % (2714562)------------------------------
% 5.83/1.94 % (2714562)------------------------------
% 5.83/1.94 % (2714551)Success in time 0.721 s
% 5.83/1.94 % Vampire exiting
%------------------------------------------------------------------------------