%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA014-1 : 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 : 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 12:28:35 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.43s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 46 ( 13 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 149 ( 83 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 58 ( 58 !; 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(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(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_b) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).
fof(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_table) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state5) ).
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(a,b),on(b,c)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ABC) ).
fof(f35,plain,
differ(b,a),
inference(resolution,[],[f11,f12]) ).
fof(f39,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ holds(on(b,c),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ differ(X2,X0)
| holds(clear(X0),do(pickup(X2),X1))
| ~ holds(clear(X0),X1) ),
inference(resolution,[],[f5,f11]) ).
fof(f42,plain,
! [X0] :
( holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f5,f12]) ).
fof(f54,plain,
! [X0] :
( holds(clear(b),do(pickup(a),X0))
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f35,f5]) ).
fof(f59,plain,
! [X0,X1] :
( holds(clear(a),do(putdown(X1,c),X0))
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f10,f13]) ).
fof(f78,plain,
! [X0,X1] :
( holds(on(b,X0),do(pickup(a),X1))
| ~ holds(on(b,X0),X1) ),
inference(resolution,[],[f4,f35]) ).
fof(f91,plain,
! [X0] :
( holds(holding(a),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f15]) ).
fof(f92,plain,
! [X0] :
( holds(holding(b),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f18]) ).
fof(f96,plain,
! [X0] :
( ~ holds(on(b,c),do(putdown(a,b),X0))
| ~ holds(clear(b),X0)
| ~ holds(holding(a),X0) ),
inference(resolution,[],[f7,f39]) ).
fof(f99,plain,
! [X0] :
( ~ holds(on(b,c),X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f96,f9]) ).
fof(f128,plain,
! [X0] :
( holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f40,f16]) ).
fof(f196,plain,
! [X0] :
( ~ holds(holding(a),do(pickup(a),X0))
| ~ holds(on(b,c),X0)
| ~ holds(clear(b),do(pickup(a),X0)) ),
inference(resolution,[],[f78,f99]) ).
fof(f197,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(a),X0))
| ~ holds(on(b,c),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f196,f91]) ).
fof(f198,plain,
! [X0] :
( ~ holds(on(b,c),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f197,f54]) ).
fof(f202,plain,
! [X0] :
( ~ holds(clear(a),do(putdown(b,c),X0))
| ~ holds(empty,do(putdown(b,c),X0))
| ~ holds(clear(b),do(putdown(b,c),X0))
| ~ holds(holding(b),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f198,f7]) ).
fof(f207,plain,
! [X0] :
( ~ holds(clear(a),do(putdown(b,c),X0))
| ~ holds(clear(b),do(putdown(b,c),X0))
| ~ holds(holding(b),X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f202,f6]) ).
fof(f208,plain,
! [X0] :
( ~ holds(clear(a),do(putdown(b,c),X0))
| ~ holds(holding(b),X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f207,f8]) ).
fof(f209,plain,
! [X0] :
( ~ holds(holding(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f208,f59]) ).
fof(f210,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f209,f92]) ).
fof(f211,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f210,f128]) ).
fof(f214,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f211,f42]) ).
fof(f230,plain,
( ~ holds(empty,s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f214,f28]) ).
fof(f231,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[],[f230,f29]) ).
fof(f233,plain,
~ holds(clear(a),s0),
inference(forward_subsumption_resolution,[],[f231,f27]) ).
fof(f234,plain,
$false,
inference(forward_subsumption_resolution,[],[f233,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA014-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 22:08:10 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 0.11/0.43 % (1826614)Will run a generic schedule for satisfiability detection.
% 0.11/0.43 % (1826623)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2227463183:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.43 % (1826620)% WARNING: option uhcvi not known.
% 0.11/0.43 % (1826623) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1826614-1826623"...
% 0.11/0.43 % (1826623)...printing done.
% 0.11/0.43 % (1826623)Refutation found. Thanks to Tanya!
% 0.11/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.43 % (1826623)------------------------------
% 0.11/0.43 % (1826623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.43 % (1826623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.43 % (1826623)CaDiCaL version: 2.1.3
% 0.11/0.43 % (1826623)Termination reason: Refutation
% 0.11/0.43 % (1826623)Time elapsed: 0.004 s
% 0.11/0.43 % (1826623)Peak memory usage: 11 MB
% 0.11/0.43 % (1826623)Instructions burned: 12 (million)
% 0.11/0.43 % (1826614)Success in time 0.032 s
% 0.11/0.43 % Vampire exiting
%------------------------------------------------------------------------------