%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL386-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:52:13 AM UTC 2026
% Result : Unsatisfiable 11.96s 3.05s
% Output : Refutation 11.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 27 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 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 : 70 ( 70 !; 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',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),y),implies(not(y),x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_48) ).
fof(f7,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(f9,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,f7,f7]) ).
fof(f18,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f2,f4]) ).
fof(f24,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f4,f9]) ).
fof(f32,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f3]) ).
fof(f43,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f9,f32]) ).
fof(f79,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(unit_resulting_resolution,[],[f1,f3,f18]) ).
fof(f95,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(unit_resulting_resolution,[],[f1,f18,f24]) ).
fof(f113,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,f95]) ).
fof(f167,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f43,f113]) ).
fof(f205,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(unit_resulting_resolution,[],[f1,f79,f167]) ).
fof(f208,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(unit_resulting_resolution,[],[f1,f2,f167]) ).
fof(f268,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(unit_resulting_resolution,[],[f1,f32,f205]) ).
fof(f392,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
inference(unit_resulting_resolution,[],[f1,f9,f268]) ).
fof(f420,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(unit_resulting_resolution,[],[f1,f208,f392]) ).
fof(f496,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f43,f420]) ).
fof(f509,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f18,f496]) ).
fof(f557,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f9,f509]) ).
fof(f764,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),implies(X1,X2)),X3),implies(implies(X1,X0),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f557]) ).
fof(f779,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(not(X1),X0)))),
inference(unit_resulting_resolution,[],[f1,f392,f764]) ).
fof(f794,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f3,f764]) ).
fof(f841,plain,
~ is_a_theorem(implies(implies(not(x),y),implies(implies(not(x),y),implies(not(y),x)))),
inference(unit_resulting_resolution,[],[f1,f5,f794]) ).
fof(f878,plain,
$false,
inference(forward_subsumption_resolution,[],[f841,f779]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL386-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 % Computer : n009.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sun Sep 27 15:38:45 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.54 Running first-order theorem proving
% 0.26/0.54 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
% 9.94/2.70 % (2191535)Input is clausal, will run a generic CNF schedule.
% 9.94/2.70 % (2191542)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=833700777:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.94/2.70 % (2191541)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=471884894:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.94/2.70 % (2191544)lrs+10_1_sil=8000:sp=occurrence:random_seed=2317341557:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.94/2.70 % (2191546)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2451132748:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.94/2.70 % (2191545)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1998750030:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.94/2.70 % (2191543)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3777775979:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.94/2.70 % (2191547)dis-21_1_sil=8000:lcm=predicate:random_seed=3801169926: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)
% 9.94/2.70 % (2191544)Instruction limit reached!
% 9.94/2.70 % (2191544)------------------------------
% 9.94/2.70 % (2191544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.70 % (2191544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.70 % (2191544)CaDiCaL version: 2.1.3
% 9.94/2.70 % (2191544)Termination reason: Instruction limit
% 9.94/2.70 % (2191544)Termination phase: Saturation
% 9.94/2.70 % (2191544)Time elapsed: 0.106 s
% 9.94/2.70 % (2191544)Peak memory usage: 88 MB
% 9.94/2.70 % (2191544)Instructions burned: 107 (million)
% 9.94/2.70 % (2191545)Instruction limit reached!
% 9.94/2.70 % (2191545)------------------------------
% 9.94/2.70 % (2191545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.70 % (2191545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.70 % (2191545)CaDiCaL version: 2.1.3
% 9.94/2.70 % (2191545)Termination reason: Instruction limit
% 9.94/2.70 % (2191545)Termination phase: Saturation
% 9.94/2.70 % (2191545)Time elapsed: 0.107 s
% 9.94/2.70 % (2191545)Peak memory usage: 88 MB
% 9.94/2.70 % (2191545)Instructions burned: 114 (million)
% 9.94/2.70 % (2191547)Instruction limit reached!
% 9.94/2.70 % (2191547)------------------------------
% 9.94/2.70 % (2191547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.70 % (2191547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.70 % (2191547)CaDiCaL version: 2.1.3
% 9.94/2.70 % (2191547)Termination reason: Instruction limit
% 9.94/2.70 % (2191547)Termination phase: Saturation
% 9.94/2.70 % (2191547)Time elapsed: 0.112 s
% 9.94/2.70 % (2191547)Peak memory usage: 88 MB
% 9.94/2.70 % (2191547)Instructions burned: 118 (million)
% 9.94/2.70 % (2191546)Instruction limit reached!
% 9.94/2.70 % (2191546)------------------------------
% 9.94/2.70 % (2191546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.70 % (2191546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.70 % (2191546)CaDiCaL version: 2.1.3
% 9.94/2.70 % (2191546)Termination reason: Instruction limit
% 9.94/2.70 % (2191546)Termination phase: Saturation
% 9.94/2.70 % (2191546)Time elapsed: 0.183 s
% 9.94/2.70 % (2191546)Peak memory usage: 89 MB
% 9.94/2.70 % (2191546)Instructions burned: 180 (million)
% 9.94/2.70 % (2191555)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=2813540621:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 9.94/2.70 % (2191555)Refutation not found, incomplete strategy
% 9.94/2.70 % (2191555)------------------------------
% 9.94/2.70 % (2191555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.70 % (2191555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.70 % (2191555)CaDiCaL version: 2.1.3
% 9.94/2.70 % (2191555)Termination reason: Refutation not found, incomplete strategy
% 9.94/2.70 % (2191555)Time elapsed: 0.002 s
% 9.94/2.70 % (2191555)Peak memory usage: 87 MB
% 9.94/2.70 % (2191556)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=159365229:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 11.96/3.05 % (2191557)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=476330774:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 11.96/3.05 % (2191557)Refutation not found, incomplete strategy
% 11.96/3.05 % (2191557)------------------------------
% 11.96/3.05 % (2191557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/3.05 % (2191557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/3.05 % (2191557)CaDiCaL version: 2.1.3
% 11.96/3.05 % (2191557)Termination reason: Refutation not found, incomplete strategy
% 11.96/3.05 % (2191557)Time elapsed: 0.001 s
% 11.96/3.05 % (2191557)Peak memory usage: 87 MB
% 11.96/3.05 % (2191558)lrs+10_64_to=lpo:sil=8000:random_seed=1290807298:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.96/3.05 % (2191558)Instruction limit reached!
% 11.96/3.05 % (2191558)------------------------------
% 11.96/3.05 % (2191558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/3.05 % (2191558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/3.05 % (2191558)CaDiCaL version: 2.1.3
% 11.96/3.05 % (2191558)Termination reason: Instruction limit
% 11.96/3.05 % (2191558)Termination phase: Saturation
% 11.96/3.05 % (2191558)Time elapsed: 0.065 s
% 11.96/3.05 % (2191558)Peak memory usage: 88 MB
% 11.96/3.05 % (2191558)Instructions burned: 128 (million)
% 11.96/3.05 % (2191556)Instruction limit reached!
% 11.96/3.05 % (2191556)------------------------------
% 11.96/3.05 % (2191556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/3.05 % (2191556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/3.05 % (2191556)CaDiCaL version: 2.1.3
% 11.96/3.05 % (2191556)Termination reason: Instruction limit
% 11.96/3.05 % (2191556)Termination phase: Saturation
% 11.96/3.05 % (2191556)Time elapsed: 0.173 s
% 11.96/3.05 % (2191556)Peak memory usage: 89 MB
% 11.96/3.05 % (2191556)Instructions burned: 189 (million)
% 11.96/3.05 % (2191555)------------------------------
% 11.96/3.05 % (2191555)------------------------------
% 11.96/3.05 % (2191557)------------------------------
% 11.96/3.05 % (2191557)------------------------------
% 11.96/3.05 % (2191563)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2412927877:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 11.96/3.05 % (2191564)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2997378561:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 11.96/3.05 % (2191542)First to succeed.
% 11.96/3.05 % (2191542)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2191535"
% 11.96/3.05 % (2191563)Instruction limit reached!
% 11.96/3.05 % (2191563)------------------------------
% 11.96/3.05 % (2191563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/3.05 % (2191563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/3.05 % (2191563)CaDiCaL version: 2.1.3
% 11.96/3.05 % (2191563)Termination reason: Instruction limit
% 11.96/3.05 % (2191563)Termination phase: Saturation
% 11.96/3.05 % (2191563)Time elapsed: 0.203 s
% 11.96/3.05 % (2191563)Peak memory usage: 90 MB
% 11.96/3.05 % (2191563)Instructions burned: 195 (million)
% 11.96/3.05 % (2191564)Instruction limit reached!
% 11.96/3.05 % (2191564)------------------------------
% 11.96/3.05 % (2191564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/3.05 % (2191564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/3.05 % (2191564)CaDiCaL version: 2.1.3
% 11.96/3.05 % (2191564)Termination reason: Instruction limit
% 11.96/3.05 % (2191564)Termination phase: Saturation
% 11.96/3.05 % (2191564)Time elapsed: 0.164 s
% 11.96/3.05 % (2191564)Peak memory usage: 90 MB
% 11.96/3.05 % (2191564)Instructions burned: 157 (million)
% 11.96/3.05 % (2191565)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2859990114:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 11.96/3.05 % (2191567)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=2855623000:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 11.96/3.05 % (2191567)Instruction limit reached!
% 11.96/3.05 % (2191567)------------------------------
% 11.96/3.05 % (2191567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/3.05 % (2191567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/3.05 % (2191567)CaDiCaL version: 2.1.3
% 11.96/3.05 % (2191567)Termination reason: Instruction limit
% 11.96/3.05 % (2191567)Termination phase: Saturation
% 11.96/3.05 % (2191567)Time elapsed: 0.106 s
% 11.96/3.05 % (2191567)Peak memory usage: 88 MB
% 11.96/3.05 % (2191567)Instructions burned: 109 (million)
% 11.96/3.05 % (2191542)Refutation found. Thanks to Tanya!
% 11.96/3.05 % SZS status Unsatisfiable for theBenchmark
% 11.96/3.05 % SZS output start Proof for theBenchmark
% See solution above
% 11.96/3.05 % (2191542)------------------------------
% 11.96/3.05 % (2191542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/3.05 % (2191542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/3.05 % (2191542)CaDiCaL version: 2.1.3
% 11.96/3.05 % (2191542)Termination reason: Refutation
% 11.96/3.05 % (2191542)Time elapsed: 0.937 s
% 11.96/3.05 % (2191542)Peak memory usage: 129 MB
% 11.96/3.05 % (2191542)Instructions burned: 1155 (million)
% 11.96/3.05 % (2191542)------------------------------
% 11.96/3.05 % (2191542)------------------------------
% 11.96/3.05 % (2191535)Success in time 1.57 s
% 11.96/3.05 % Vampire exiting
%------------------------------------------------------------------------------