%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL182-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:51:27 AM UTC 2026
% Result : Unsatisfiable 6.20s 1.96s
% Output : Refutation 6.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 15 ( 12 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 11 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0] :
( theorem(X0)
| ~ axiom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ axiom(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ axiom(or(not(X0),X2))
| ~ theorem(or(not(X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(not(p),q)),or(not(not(q)),not(p)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f14,plain,
~ theorem(or(not(not(q)),or(not(or(not(p),q)),not(p)))),
inference(unit_resulting_resolution,[],[f7,f4,f9]) ).
fof(f37,plain,
! [X0] : ~ theorem(or(not(or(X0,not(q))),or(not(or(not(p),q)),not(p)))),
inference(unit_resulting_resolution,[],[f8,f2,f14]) ).
fof(f155,plain,
! [X0] : ~ theorem(or(not(or(not(q),X0)),or(not(or(not(p),q)),not(p)))),
inference(unit_resulting_resolution,[],[f8,f3,f37]) ).
fof(f498,plain,
! [X0,X1] : ~ theorem(or(not(or(not(or(X0,q)),or(X0,X1))),or(not(or(not(p),q)),not(p)))),
inference(unit_resulting_resolution,[],[f8,f5,f155]) ).
fof(f2195,plain,
! [X0] : ~ theorem(or(not(or(not(p),X0)),not(p))),
inference(unit_resulting_resolution,[],[f7,f5,f498]) ).
fof(f2206,plain,
$false,
inference(unit_resulting_resolution,[],[f6,f1,f2195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL182-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n026.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 15:27:57 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 6.20/1.96 % (2995263)Input is clausal, will run a generic CNF schedule.
% 6.20/1.96 % (2995344)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2840076803:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.20/1.96 % (2995341)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=894769807:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.20/1.96 % (2995345)dis-21_1_sil=8000:lcm=predicate:random_seed=688962054: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)
% 6.20/1.96 % (2995338)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=2417304136:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.20/1.96 % (2995340)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3715612281:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.20/1.96 % (2995344)Instruction limit reached!
% 6.20/1.96 % (2995344)------------------------------
% 6.20/1.96 % (2995344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.96 % (2995344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.96 % (2995344)CaDiCaL version: 2.1.3
% 6.20/1.96 % (2995344)Termination reason: Instruction limit
% 6.20/1.96 % (2995344)Termination phase: Saturation
% 6.20/1.96 % (2995344)Time elapsed: 0.104 s
% 6.20/1.96 % (2995344)Peak memory usage: 90 MB
% 6.20/1.96 % (2995344)Instructions burned: 181 (million)
% 6.20/1.96 % (2995342)lrs+10_1_sil=8000:sp=occurrence:random_seed=2578608415:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.20/1.96 % (2995343)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1587733233:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.20/1.96 % (2995345)Instruction limit reached!
% 6.20/1.96 % (2995345)------------------------------
% 6.20/1.96 % (2995345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.96 % (2995345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.96 % (2995345)CaDiCaL version: 2.1.3
% 6.20/1.96 % (2995345)Termination reason: Instruction limit
% 6.20/1.96 % (2995345)Termination phase: Saturation
% 6.20/1.96 % (2995345)Time elapsed: 0.115 s
% 6.20/1.96 % (2995345)Peak memory usage: 88 MB
% 6.20/1.96 % (2995345)Instructions burned: 118 (million)
% 6.20/1.96 % (2995342)Instruction limit reached!
% 6.20/1.96 % (2995342)------------------------------
% 6.20/1.96 % (2995342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.96 % (2995342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.96 % (2995342)CaDiCaL version: 2.1.3
% 6.20/1.96 % (2995342)Termination reason: Instruction limit
% 6.20/1.96 % (2995342)Termination phase: Saturation
% 6.20/1.96 % (2995342)Time elapsed: 0.107 s
% 6.20/1.96 % (2995342)Peak memory usage: 88 MB
% 6.20/1.96 % (2995342)Instructions burned: 107 (million)
% 6.20/1.96 % (2995343)Instruction limit reached!
% 6.20/1.96 % (2995343)------------------------------
% 6.20/1.96 % (2995343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.96 % (2995343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.96 % (2995343)CaDiCaL version: 2.1.3
% 6.20/1.96 % (2995343)Termination reason: Instruction limit
% 6.20/1.96 % (2995343)Termination phase: Saturation
% 6.20/1.96 % (2995343)Time elapsed: 0.117 s
% 6.20/1.96 % (2995343)Peak memory usage: 88 MB
% 6.20/1.96 % (2995343)Instructions burned: 114 (million)
% 6.20/1.96 % (2995365)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=2688112423:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.20/1.96 % (2995365)Refutation not found, incomplete strategy
% 6.20/1.96 % (2995365)------------------------------
% 6.20/1.96 % (2995365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.96 % (2995365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.96 % (2995365)CaDiCaL version: 2.1.3
% 6.20/1.96 % (2995365)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.96 % (2995365)Time elapsed: 0.001 s
% 6.20/1.96 % (2995365)Peak memory usage: 87 MB
% 6.20/1.96 % (2995370)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=579166129: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)
% 6.20/1.96 % (2995370)First to succeed.
% 6.20/1.96 % (2995370)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2995263"
% 6.20/1.96 % (2995371)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3852035372:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.20/1.96 % (2995372)lrs+10_64_to=lpo:sil=8000:random_seed=1404571571:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.20/1.96 % (2995372)Instruction limit reached!
% 6.20/1.96 % (2995372)------------------------------
% 6.20/1.96 % (2995372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.96 % (2995372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.96 % (2995372)CaDiCaL version: 2.1.3
% 6.20/1.96 % (2995372)Termination reason: Instruction limit
% 6.20/1.96 % (2995372)Termination phase: Saturation
% 6.20/1.96 % (2995372)Time elapsed: 0.137 s
% 6.20/1.96 % (2995372)Peak memory usage: 88 MB
% 6.20/1.96 % (2995372)Instructions burned: 126 (million)
% 6.20/1.96 % (2995371)Instruction limit reached!
% 6.20/1.96 % (2995371)------------------------------
% 6.20/1.96 % (2995371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.96 % (2995371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.96 % (2995371)CaDiCaL version: 2.1.3
% 6.20/1.96 % (2995371)Termination reason: Instruction limit
% 6.20/1.96 % (2995371)Termination phase: Saturation
% 6.20/1.96 % (2995371)Time elapsed: 0.206 s
% 6.20/1.96 % (2995371)Peak memory usage: 89 MB
% 6.20/1.96 % (2995371)Instructions burned: 219 (million)
% 6.20/1.96 % (2995370)Refutation found. Thanks to Tanya!
% 6.20/1.96 % SZS status Unsatisfiable for theBenchmark
% 6.20/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 6.20/1.96 % (2995370)------------------------------
% 6.20/1.96 % (2995370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.96 % (2995370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.96 % (2995370)CaDiCaL version: 2.1.3
% 6.20/1.96 % (2995370)Termination reason: Refutation
% 6.20/1.96 % (2995370)Time elapsed: 0.048 s
% 6.20/1.96 % (2995370)Peak memory usage: 89 MB
% 6.20/1.96 % (2995370)Instructions burned: 85 (million)
% 6.20/1.96 % (2995370)------------------------------
% 6.20/1.96 % (2995370)------------------------------
% 6.20/1.96 % (2995263)Success in time 0.766 s
% 6.20/1.96 % Vampire exiting
%------------------------------------------------------------------------------