%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS075+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 11:42:13 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.45s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 80 ( 14 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 75 ( 31 ~; 26 |; 12 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 ( 47 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf1(X0,X1)
& ~ cp(X1) )
& ? [X1] :
( rs(X0,X1)
& cowlThing(X1) )
& ? [X1] :
( rf(X0,X1)
& cp(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( rf1(X0,X1)
& rf1(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_19_02584),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f29,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f30,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f31,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf1(X0,X1)
& ~ cp(X1) )
& ? [X2] :
( rs(X0,X2)
& cowlThing(X2) )
& ? [X3] :
( rf(X0,X3)
& cp(X3) ) ) ),
inference(rectify,[],[f21]) ).
fof(f68,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f69,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f71,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(flattening,[],[f70]) ).
fof(f74,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f75,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f98,plain,
! [X0] :
( ~ cp(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f99,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f102,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rs(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f103,plain,
! [X0] :
( cp(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f104,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f69]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f114,plain,
cUnsatisfiable(i2003_11_14_17_19_02584),
inference(cnf_transformation,[],[f28]) ).
fof(f115,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f116,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f136,plain,
rf1(i2003_11_14_17_19_02584,sK2(i2003_11_14_17_19_02584)),
inference(resolution,[],[f99,f114]) ).
fof(f137,plain,
rs(i2003_11_14_17_19_02584,sK1(i2003_11_14_17_19_02584)),
inference(resolution,[],[f102,f114]) ).
fof(f138,plain,
rf(i2003_11_14_17_19_02584,sK0(i2003_11_14_17_19_02584)),
inference(resolution,[],[f104,f114]) ).
fof(f144,plain,
! [X0] :
( ~ rf(i2003_11_14_17_19_02584,X0)
| sK0(i2003_11_14_17_19_02584) = X0 ),
inference(resolution,[],[f105,f138]) ).
fof(f147,plain,
! [X0] :
( ~ rs(i2003_11_14_17_19_02584,X0)
| sK0(i2003_11_14_17_19_02584) = X0 ),
inference(resolution,[],[f144,f116]) ).
fof(f150,plain,
! [X0] :
( ~ rf1(i2003_11_14_17_19_02584,X0)
| sK2(i2003_11_14_17_19_02584) = X0 ),
inference(resolution,[],[f106,f136]) ).
fof(f153,plain,
! [X0] :
( ~ rs(i2003_11_14_17_19_02584,X0)
| sK2(i2003_11_14_17_19_02584) = X0 ),
inference(resolution,[],[f150,f115]) ).
fof(f159,plain,
sK1(i2003_11_14_17_19_02584) = sK0(i2003_11_14_17_19_02584),
inference(resolution,[],[f147,f137]) ).
fof(f162,plain,
rs(i2003_11_14_17_19_02584,sK0(i2003_11_14_17_19_02584)),
inference(superposition,[],[f137,f159]) ).
fof(f175,plain,
sK2(i2003_11_14_17_19_02584) = sK0(i2003_11_14_17_19_02584),
inference(resolution,[],[f153,f162]) ).
fof(f184,plain,
( ~ cp(sK0(i2003_11_14_17_19_02584))
| ~ cUnsatisfiable(i2003_11_14_17_19_02584) ),
inference(superposition,[],[f98,f175]) ).
fof(f185,plain,
~ cUnsatisfiable(i2003_11_14_17_19_02584),
inference(forward_subsumption_resolution,[],[f184,f103]) ).
fof(f186,plain,
$false,
inference(forward_subsumption_resolution,[],[f185,f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS075+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n007.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 13:19:55 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.45 % (1414428)Will run a generic schedule for satisfiability detection.
% 0.13/0.45 % (1414437)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2511868190:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.45 % (1414437) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1414428-1414437"...
% 0.13/0.45 % (1414437)...printing done.
% 0.13/0.45 % (1414434)% WARNING: option uhcvi not known.
% 0.13/0.45 % (1414437)Refutation found. Thanks to Tanya!
% 0.13/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.45 % (1414437)------------------------------
% 0.13/0.45 % (1414437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.45 % (1414437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.45 % (1414437)CaDiCaL version: 2.1.3
% 0.13/0.45 % (1414437)Termination reason: Refutation
% 0.13/0.45 % (1414437)Time elapsed: 0.002 s
% 0.13/0.45 % (1414437)Peak memory usage: 12 MB
% 0.13/0.45 % (1414437)Instructions burned: 4 (million)
% 0.13/0.45 % (1414428)Success in time 0.026 s
% 0.13/0.45 % Vampire exiting
%------------------------------------------------------------------------------