%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA011-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:28:34 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 46 ( 12 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 164 ( 91 ~; 73 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',and_definition) ).
fof(f2,axiom,
! [X0,X1] :
( ~ differ(X0,table)
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| holds(holding(X0),do(pickup(X0),X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(pickup(X1),X2))
| ~ holds(on(X1,X0),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_2) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ differ(X0,X2)
| ~ holds(on(X0,X1),X3)
| holds(on(X0,X1),do(pickup(X2),X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ differ(X0,X1)
| ~ holds(clear(X0),X2)
| holds(clear(X0),do(pickup(X1),X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_4) ).
fof(f6,axiom,
! [X2,X0,X1] :
( holds(empty,do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_3) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( holds(on(X0,X1),do(putdown(X2,X3),X4))
| ~ holds(on(X0,X1),X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_4) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ differ(X0,X2)
| ~ holds(clear(X0),X3)
| holds(clear(X0),do(putdown(X1,X2),X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_5) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_d) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_c_d) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_d_table) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state3) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state6) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state8) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(and(on(d,c),on(c,b)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_DCB) ).
fof(f42,plain,
! [X0] :
( ~ holds(on(d,c),X0)
| ~ holds(on(c,b),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f48,plain,
! [X0] :
( holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f5,f16]) ).
fof(f51,plain,
! [X0] :
( holds(clear(c),do(pickup(d),X0))
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f5,f19]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ differ(X3,X0)
| holds(clear(X0),do(putdown(X2,X3),X1))
| ~ holds(clear(X0),X1) ),
inference(resolution,[],[f10,f11]) ).
fof(f83,plain,
! [X0,X1] :
( holds(on(c,X0),do(pickup(d),X1))
| ~ holds(on(c,X0),X1) ),
inference(resolution,[],[f4,f19]) ).
fof(f96,plain,
! [X0] :
( holds(holding(c),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f20]) ).
fof(f97,plain,
! [X0] :
( holds(holding(d),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f21]) ).
fof(f102,plain,
! [X0] :
( ~ holds(on(c,b),do(putdown(d,c),X0))
| ~ holds(clear(c),X0)
| ~ holds(holding(d),X0) ),
inference(resolution,[],[f7,f42]) ).
fof(f105,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(holding(d),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f102,f9]) ).
fof(f115,plain,
! [X0] :
( ~ holds(holding(d),do(pickup(d),X0))
| ~ holds(on(c,b),X0)
| ~ holds(clear(c),do(pickup(d),X0)) ),
inference(resolution,[],[f83,f105]) ).
fof(f139,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(on(c,b),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f97,f115]) ).
fof(f141,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f139,f51]) ).
fof(f155,plain,
! [X0,X1] :
( holds(clear(d),do(putdown(X0,b),X1))
| ~ holds(clear(d),X1) ),
inference(resolution,[],[f58,f17]) ).
fof(f163,plain,
! [X0] :
( ~ holds(empty,do(putdown(c,b),X0))
| ~ holds(clear(d),do(putdown(c,b),X0))
| ~ holds(clear(c),do(putdown(c,b),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f141,f7]) ).
fof(f166,plain,
! [X0] :
( ~ holds(clear(d),do(putdown(c,b),X0))
| ~ holds(clear(c),do(putdown(c,b),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(b),X0) ),
inference(forward_subsumption_resolution,[],[f163,f6]) ).
fof(f167,plain,
! [X0] :
( ~ holds(clear(d),do(putdown(c,b),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(b),X0) ),
inference(forward_subsumption_resolution,[],[f166,f8]) ).
fof(f193,plain,
! [X0] :
( ~ holds(holding(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f155,f167]) ).
fof(f194,plain,
! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f193,f96]) ).
fof(f195,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f194,f3]) ).
fof(f197,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0) ),
inference(duplicate_literal_removal,[],[f195]) ).
fof(f220,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f197,f48]) ).
fof(f233,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ holds(clear(b),s0) ),
inference(resolution,[],[f220,f24]) ).
fof(f234,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(b),s0) ),
inference(forward_subsumption_resolution,[],[f233,f29]) ).
fof(f236,plain,
~ holds(clear(b),s0),
inference(forward_subsumption_resolution,[],[f234,f28]) ).
fof(f238,plain,
$false,
inference(forward_subsumption_resolution,[],[f236,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA011-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n013.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 22:09:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.44 % (602045)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (602054)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1290360565:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.44 % (602054) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-602045-602054"...
% 0.09/0.44 % (602054)...printing done.
% 0.09/0.44 % (602054)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (602054)------------------------------
% 0.09/0.44 % (602054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (602054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (602054)CaDiCaL version: 2.1.3
% 0.09/0.44 % (602054)Termination reason: Refutation
% 0.09/0.44 % (602054)Time elapsed: 0.004 s
% 0.09/0.44 % (602054)Peak memory usage: 11 MB
% 0.09/0.44 % (602054)Instructions burned: 11 (million)
% 0.09/0.44 % (602045)Success in time 0.028 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------