%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL030-1 : 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 11:50:58 AM UTC 2026
% Result : Unsatisfiable 10.45s 2.75s
% Output : Refutation 10.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 21 unt; 0 def)
% Number of atoms : 24 ( 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 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,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_1) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_3) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_6) ).
fof(f12,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(unit_resulting_resolution,[],[f1,f3,f2]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f2]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(unit_resulting_resolution,[],[f1,f13,f13]) ).
fof(f50,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f13,f4]) ).
fof(f73,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1))),
inference(unit_resulting_resolution,[],[f1,f13,f50]) ).
fof(f84,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(unit_resulting_resolution,[],[f1,f12,f73]) ).
fof(f97,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f16,f84]) ).
fof(f98,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f2,f84]) ).
fof(f107,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f13,f98]) ).
fof(f164,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X0,X2)),X3),implies(implies(X1,X2),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f107]) ).
fof(f268,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X3),implies(implies(X3,X1),X2)))),
inference(unit_resulting_resolution,[],[f1,f13,f164]) ).
fof(f308,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))),
inference(unit_resulting_resolution,[],[f1,f4,f268]) ).
fof(f388,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X1),X1))),
inference(unit_resulting_resolution,[],[f1,f13,f308]) ).
fof(f431,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X3)),implies(implies(X1,X3),implies(X0,X3)))),
inference(unit_resulting_resolution,[],[f1,f16,f388]) ).
fof(f583,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2)))),
inference(unit_resulting_resolution,[],[f1,f2,f431]) ).
fof(f657,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f13,f583]) ).
fof(f730,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f6,f97,f657]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL030-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:13:20 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 9.19/2.56 % (2712799)Input is clausal, will run a generic CNF schedule.
% 9.19/2.56 % (2712811)dis-21_1_sil=8000:lcm=predicate:random_seed=3797113528: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)
% 9.19/2.56 % (2712806)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2270552992:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.19/2.56 % (2712805)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=1881097730:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.19/2.56 % (2712809)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1542185809:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.19/2.56 % (2712808)lrs+10_1_sil=8000:sp=occurrence:random_seed=2766661352:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.19/2.56 % (2712807)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2211462231:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.19/2.56 % (2712811)Instruction limit reached!
% 9.19/2.56 % (2712811)------------------------------
% 9.19/2.56 % (2712811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.56 % (2712811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.56 % (2712811)CaDiCaL version: 2.1.3
% 9.19/2.56 % (2712811)Termination reason: Instruction limit
% 9.19/2.56 % (2712811)Termination phase: Saturation
% 9.19/2.56 % (2712811)Time elapsed: 0.067 s
% 9.19/2.56 % (2712811)Peak memory usage: 88 MB
% 9.19/2.56 % (2712811)Instructions burned: 118 (million)
% 9.19/2.56 % (2712810)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2657743242:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.19/2.56 % (2712809)Instruction limit reached!
% 9.19/2.56 % (2712809)------------------------------
% 9.19/2.56 % (2712809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.56 % (2712809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.56 % (2712809)CaDiCaL version: 2.1.3
% 9.19/2.56 % (2712809)Termination reason: Instruction limit
% 9.19/2.56 % (2712809)Termination phase: Saturation
% 9.19/2.56 % (2712809)Time elapsed: 0.111 s
% 9.19/2.56 % (2712809)Peak memory usage: 88 MB
% 9.19/2.56 % (2712809)Instructions burned: 115 (million)
% 9.19/2.56 % (2712808)Instruction limit reached!
% 9.19/2.56 % (2712808)------------------------------
% 9.19/2.56 % (2712808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.56 % (2712808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.56 % (2712808)CaDiCaL version: 2.1.3
% 9.19/2.56 % (2712808)Termination reason: Instruction limit
% 9.19/2.56 % (2712808)Termination phase: Saturation
% 9.19/2.56 % (2712808)Time elapsed: 0.111 s
% 9.19/2.56 % (2712808)Peak memory usage: 88 MB
% 9.19/2.56 % (2712808)Instructions burned: 108 (million)
% 9.19/2.56 % (2712810)Instruction limit reached!
% 9.19/2.56 % (2712810)------------------------------
% 9.19/2.56 % (2712810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.56 % (2712810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.56 % (2712810)CaDiCaL version: 2.1.3
% 9.19/2.56 % (2712810)Termination reason: Instruction limit
% 9.19/2.56 % (2712810)Termination phase: Saturation
% 9.19/2.56 % (2712810)Time elapsed: 0.192 s
% 9.19/2.56 % (2712810)Peak memory usage: 89 MB
% 9.19/2.56 % (2712810)Instructions burned: 180 (million)
% 9.19/2.56 % (2712818)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=3693290380:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.19/2.56 % (2712818)Refutation not found, incomplete strategy
% 9.19/2.56 % (2712818)------------------------------
% 9.19/2.56 % (2712818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.19/2.56 % (2712818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/2.56 % (2712818)CaDiCaL version: 2.1.3
% 9.19/2.56 % (2712818)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.56 % (2712818)Time elapsed: 0.001 s
% 9.19/2.56 % (2712818)Peak memory usage: 87 MB
% 9.19/2.56 % (2712820)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1653247984: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)
% 10.45/2.75 % (2712821)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2422114887:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 10.45/2.75 % (2712821)Refutation not found, incomplete strategy
% 10.45/2.75 % (2712821)------------------------------
% 10.45/2.75 % (2712821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.75 % (2712821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.75 % (2712821)CaDiCaL version: 2.1.3
% 10.45/2.75 % (2712821)Termination reason: Refutation not found, incomplete strategy
% 10.45/2.75 % (2712821)Time elapsed: 0.001 s
% 10.45/2.75 % (2712821)Peak memory usage: 87 MB
% 10.45/2.75 % (2712818)------------------------------
% 10.45/2.75 % (2712818)------------------------------
% 10.45/2.75 % (2712822)lrs+10_64_to=lpo:sil=8000:random_seed=2960914620:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 10.45/2.75 % (2712820)Instruction limit reached!
% 10.45/2.75 % (2712820)------------------------------
% 10.45/2.75 % (2712820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.75 % (2712820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.75 % (2712820)CaDiCaL version: 2.1.3
% 10.45/2.75 % (2712820)Termination reason: Instruction limit
% 10.45/2.75 % (2712820)Termination phase: Saturation
% 10.45/2.75 % (2712820)Time elapsed: 0.181 s
% 10.45/2.75 % (2712820)Peak memory usage: 89 MB
% 10.45/2.75 % (2712820)Instructions burned: 190 (million)
% 10.45/2.75 % (2712822)Instruction limit reached!
% 10.45/2.75 % (2712822)------------------------------
% 10.45/2.75 % (2712822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.75 % (2712822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.75 % (2712822)CaDiCaL version: 2.1.3
% 10.45/2.75 % (2712822)Termination reason: Instruction limit
% 10.45/2.75 % (2712822)Termination phase: Saturation
% 10.45/2.75 % (2712822)Time elapsed: 0.123 s
% 10.45/2.75 % (2712822)Peak memory usage: 88 MB
% 10.45/2.75 % (2712822)Instructions burned: 126 (million)
% 10.45/2.75 % (2712826)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=682472906:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 10.45/2.75 % (2712826)Instruction limit reached!
% 10.45/2.75 % (2712826)------------------------------
% 10.45/2.75 % (2712826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.75 % (2712826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.75 % (2712826)CaDiCaL version: 2.1.3
% 10.45/2.75 % (2712826)Termination reason: Instruction limit
% 10.45/2.75 % (2712826)Termination phase: Saturation
% 10.45/2.75 % (2712826)Time elapsed: 0.102 s
% 10.45/2.75 % (2712826)Peak memory usage: 90 MB
% 10.45/2.75 % (2712826)Instructions burned: 196 (million)
% 10.45/2.75 % (2712821)------------------------------
% 10.45/2.75 % (2712821)------------------------------
% 10.45/2.75 % (2712836)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1134261088:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 10.45/2.75 % (2712838)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4250940808:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 10.45/2.75 % (2712806)First to succeed.
% 10.45/2.75 % (2712806)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2712799"
% 10.45/2.75 % (2712836)Instruction limit reached!
% 10.45/2.75 % (2712836)------------------------------
% 10.45/2.75 % (2712836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.75 % (2712836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.75 % (2712836)CaDiCaL version: 2.1.3
% 10.45/2.75 % (2712836)Termination reason: Instruction limit
% 10.45/2.75 % (2712836)Termination phase: Saturation
% 10.45/2.75 % (2712836)Time elapsed: 0.108 s
% 10.45/2.75 % (2712836)Peak memory usage: 91 MB
% 10.45/2.75 % (2712836)Instructions burned: 158 (million)
% 10.45/2.75 % (2712840)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1064431638:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 10.45/2.75 % (2712841)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2602833073:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 10.45/2.75 % (2712841)Refutation not found, incomplete strategy
% 10.45/2.75 % (2712841)------------------------------
% 10.45/2.75 % (2712841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.75 % (2712841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.75 % (2712841)CaDiCaL version: 2.1.3
% 10.45/2.75 % (2712841)Termination reason: Refutation not found, incomplete strategy
% 10.45/2.75 % (2712841)Time elapsed: 0.001 s
% 10.45/2.75 % (2712841)Peak memory usage: 87 MB
% 10.45/2.75 % (2712840)Instruction limit reached!
% 10.45/2.75 % (2712840)------------------------------
% 10.45/2.75 % (2712840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.75 % (2712840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.75 % (2712840)CaDiCaL version: 2.1.3
% 10.45/2.75 % (2712840)Termination reason: Instruction limit
% 10.45/2.75 % (2712840)Termination phase: Saturation
% 10.45/2.75 % (2712840)Time elapsed: 0.059 s
% 10.45/2.75 % (2712840)Peak memory usage: 88 MB
% 10.45/2.75 % (2712840)Instructions burned: 107 (million)
% 10.45/2.75 % (2712806)Refutation found. Thanks to Tanya!
% 10.45/2.75 % SZS status Unsatisfiable for theBenchmark
% 10.45/2.75 % SZS output start Proof for theBenchmark
% See solution above
% 10.45/2.75 % (2712806)------------------------------
% 10.45/2.75 % (2712806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.45/2.75 % (2712806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.45/2.75 % (2712806)CaDiCaL version: 2.1.3
% 10.45/2.75 % (2712806)Termination reason: Refutation
% 10.45/2.75 % (2712806)Time elapsed: 0.920 s
% 10.45/2.75 % (2712806)Peak memory usage: 129 MB
% 10.45/2.75 % (2712806)Instructions burned: 1098 (million)
% 10.45/2.75 % (2712806)------------------------------
% 10.45/2.75 % (2712806)------------------------------
% 10.45/2.75 % (2712799)Success in time 1.36 s
% 10.45/2.75 % Vampire exiting
%------------------------------------------------------------------------------