%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS086+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:41:37 AM UTC 2026
% Result : Unsatisfiable 3.09s 1.17s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 96 ( 9 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 115 ( 47 ~; 42 |; 22 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 53 ( 44 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f17,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ? [X1] :
( rf(X0,X1)
& ? [X2] :
( rinvF(X1,X2)
& ? [X3] :
( rf(X2,X3)
& ~ cp1(X3) ) )
& cp1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f18,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f19,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_42328),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f51,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f51]) ).
fof(f56,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ! [X2] :
( ~ rinvF(X1,X2)
| ! [X3] :
( ~ rf(X2,X3)
| cp1(X3) ) )
| ~ cp1(X1) ) )
& ( ? [X1] :
( rf(X0,X1)
& ? [X2] :
( rinvF(X1,X2)
& ? [X3] :
( rf(X2,X3)
& ~ cp1(X3) ) )
& cp1(X1) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f57,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ! [X2] :
( ~ rinvF(X1,X2)
| ! [X3] :
( ~ rf(X2,X3)
| cp1(X3) ) )
| ~ cp1(X1) ) )
& ( ? [X4] :
( rf(X0,X4)
& ? [X5] :
( rinvF(X4,X5)
& ? [X6] :
( rf(X5,X6)
& ~ cp1(X6) ) )
& cp1(X4) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ! [X2] :
( ~ rinvF(X1,X2)
| ! [X3] :
( ~ rf(X2,X3)
| cp1(X3) ) )
| ~ cp1(X1) ) )
& ( ( rf(X0,sK0(X0))
& rinvF(sK0(X0),sK1(X0))
& rf(sK1(X0),sK2(X0))
& ~ cp1(sK2(X0))
& cp1(sK0(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X4,sK0(X0)),skolemize(X5,sK1(X0)),skolemize(X6,sK2(X0))],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f76,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f15]) ).
fof(f79,plain,
! [X0] :
( cp1(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f80,plain,
! [X0] :
( ~ cp1(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f81,plain,
! [X0] :
( rf(sK1(X0),sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f82,plain,
! [X0] :
( rinvF(sK0(X0),sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f85,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f86,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f91,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(cnf_transformation,[],[f22]) ).
fof(f107,plain,
! [X0] :
( rf(sK1(X0),sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f82,f86]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| X1 = X2
| ~ rf(X0,X2) ),
inference(forward_subsumption_resolution,[],[f85,f76]) ).
fof(f110,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rf(sK1(X0),X1)
| sK2(X0) = X1 ),
inference(resolution,[],[f108,f81]) ).
fof(f116,plain,
! [X0] :
( ~ rf(sK1(i2003_11_14_17_19_42328),X0)
| sK2(i2003_11_14_17_19_42328) = X0 ),
inference(resolution,[],[f110,f91]) ).
fof(f118,plain,
( sK0(i2003_11_14_17_19_42328) = sK2(i2003_11_14_17_19_42328)
| ~ cUnsatisfiable(i2003_11_14_17_19_42328) ),
inference(resolution,[],[f116,f107]) ).
fof(f129,plain,
sK0(i2003_11_14_17_19_42328) = sK2(i2003_11_14_17_19_42328),
inference(forward_subsumption_resolution,[],[f118,f91]) ).
fof(f133,plain,
( ~ cp1(sK0(i2003_11_14_17_19_42328))
| ~ cUnsatisfiable(i2003_11_14_17_19_42328) ),
inference(superposition,[],[f80,f129]) ).
fof(f134,plain,
~ cUnsatisfiable(i2003_11_14_17_19_42328),
inference(forward_subsumption_resolution,[],[f133,f79]) ).
fof(f135,plain,
$false,
inference(forward_subsumption_resolution,[],[f134,f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS086+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 13:20:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 3.09/1.17 % (1414837)Detected formulas, will run a generic FOF schedule.
% 3.09/1.17 % (1414848)dis-21_1_sil=8000:lcm=predicate:random_seed=2201196570:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.09/1.17 % (1414847)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2176651828:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.09/1.17 % (1414845)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3956394448:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.09/1.17 % (1414846)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1877481060:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.09/1.17 % (1414842)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=1874725083:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.09/1.17 % (1414844)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1096234543:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.09/1.17 % (1414843)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2297816426:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.09/1.17 % (1414846)Refutation not found, incomplete strategy
% 3.09/1.17 % (1414846)------------------------------
% 3.09/1.17 % (1414846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.17 % (1414846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.17 % (1414846)CaDiCaL version: 2.1.3
% 3.09/1.17 % (1414846)Termination reason: Refutation not found, incomplete strategy
% 3.09/1.17 % (1414846)Time elapsed: 0.0000 s
% 3.09/1.17 % (1414846)Peak memory usage: 86 MB
% 3.09/1.17 % (1414845)Refutation not found, incomplete strategy
% 3.09/1.17 % (1414845)------------------------------
% 3.09/1.17 % (1414845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.17 % (1414845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.17 % (1414845)CaDiCaL version: 2.1.3
% 3.09/1.17 % (1414845)Termination reason: Refutation not found, incomplete strategy
% 3.09/1.17 % (1414845)Time elapsed: 0.0000 s
% 3.09/1.17 % (1414845)Peak memory usage: 86 MB
% 3.09/1.17 % (1414847)First to succeed.
% 3.09/1.17 % (1414847)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1414837"
% 3.09/1.17 % (1414848)Instruction limit reached!
% 3.09/1.17 % (1414848)------------------------------
% 3.09/1.17 % (1414848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.17 % (1414848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.17 % (1414848)CaDiCaL version: 2.1.3
% 3.09/1.17 % (1414848)Termination reason: Instruction limit
% 3.09/1.17 % (1414848)Termination phase: Saturation
% 3.09/1.17 % (1414848)Time elapsed: 0.047 s
% 3.09/1.17 % (1414848)Peak memory usage: 88 MB
% 3.09/1.17 % (1414848)Instructions burned: 129 (million)
% 3.09/1.17 % (1414856)lrs+10_1_sil=8000:sp=occurrence:random_seed=4222050425:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.09/1.17 % (1414856)Refutation not found, incomplete strategy
% 3.09/1.17 % (1414856)------------------------------
% 3.09/1.17 % (1414856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.17 % (1414856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.17 % (1414856)CaDiCaL version: 2.1.3
% 3.09/1.17 % (1414856)Termination reason: Refutation not found, incomplete strategy
% 3.09/1.17 % (1414856)Time elapsed: 0.0000 s
% 3.09/1.17 % (1414856)Peak memory usage: 86 MB
% 3.09/1.17 % (1414845)------------------------------
% 3.09/1.17 % (1414845)------------------------------
% 3.09/1.17 % (1414846)------------------------------
% 3.09/1.17 % (1414846)------------------------------
% 3.09/1.17 % (1414847)Refutation found. Thanks to Tanya!
% 3.09/1.17 % SZS status Unsatisfiable for theBenchmark
% 3.09/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.09/1.17 % (1414847)------------------------------
% 3.09/1.17 % (1414847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.17 % (1414847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.17 % (1414847)CaDiCaL version: 2.1.3
% 3.09/1.17 % (1414847)Termination reason: Refutation
% 3.09/1.17 % (1414847)Time elapsed: 0.003 s
% 3.09/1.17 % (1414847)Peak memory usage: 89 MB
% 3.09/1.17 % (1414847)Instructions burned: 3 (million)
% 3.09/1.17 % (1414847)------------------------------
% 3.09/1.17 % (1414847)------------------------------
% 3.09/1.17 % (1414837)Success in time 0.383 s
% 3.09/1.17 % Vampire exiting
%------------------------------------------------------------------------------