%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA023-1 : 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 : n012.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 12:28:37 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 23
% Syntax : Number of formulae : 62 ( 14 unt; 0 def)
% Number of atoms : 166 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 234 ( 130 ~; 104 |; 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 : 82 ( 82 !; 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(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_d) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).
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(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state5) ).
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(f30,axiom,
! [X0] : holds(clear(table),X0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',clear_table) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(and(on(d,a),on(a,c)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_DAC) ).
fof(f40,plain,
! [X0] :
( ~ holds(on(d,a),X0)
| ~ holds(on(a,c),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ differ(X2,X0)
| holds(clear(X0),do(pickup(X2),X1))
| ~ holds(clear(X0),X1) ),
inference(resolution,[],[f5,f11]) ).
fof(f44,plain,
! [X0] :
( holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f5,f13]) ).
fof(f45,plain,
! [X0] :
( holds(clear(a),do(pickup(d),X0))
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f5,f14]) ).
fof(f56,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(f58,plain,
! [X0,X1] :
( holds(clear(a),do(putdown(X1,table),X0))
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f10,f15]) ).
fof(f68,plain,
! [X0,X1] :
( holds(clear(d),do(putdown(X1,table),X0))
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f10,f21]) ).
fof(f76,plain,
! [X0,X1] :
( holds(on(a,X0),do(pickup(d),X1))
| ~ holds(on(a,X0),X1) ),
inference(resolution,[],[f4,f14]) ).
fof(f92,plain,
! [X0] :
( holds(holding(a),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f15]) ).
fof(f94,plain,
! [X0] :
( holds(holding(c),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f20]) ).
fof(f95,plain,
! [X0] :
( holds(holding(d),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f21]) ).
fof(f100,plain,
! [X0] :
( ~ holds(on(a,c),do(putdown(d,a),X0))
| ~ holds(clear(a),X0)
| ~ holds(holding(d),X0) ),
inference(resolution,[],[f7,f40]) ).
fof(f103,plain,
! [X0] :
( ~ holds(on(a,c),X0)
| ~ holds(holding(d),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f100,f9]) ).
fof(f110,plain,
! [X0] :
( ~ holds(holding(d),do(pickup(d),X0))
| ~ holds(on(a,c),X0)
| ~ holds(clear(a),do(pickup(d),X0)) ),
inference(resolution,[],[f76,f103]) ).
fof(f121,plain,
! [X0] :
( holds(clear(c),do(pickup(a),X0))
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f41,f13]) ).
fof(f122,plain,
! [X0] :
( holds(clear(d),do(pickup(a),X0))
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f41,f14]) ).
fof(f131,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(on(a,c),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f95,f110]) ).
fof(f133,plain,
! [X0] :
( ~ holds(on(a,c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f131,f45]) ).
fof(f147,plain,
! [X0,X1] :
( holds(clear(d),do(putdown(X0,c),X1))
| ~ holds(clear(d),X1) ),
inference(resolution,[],[f56,f19]) ).
fof(f153,plain,
! [X0] :
( ~ holds(empty,do(putdown(a,c),X0))
| ~ holds(clear(d),do(putdown(a,c),X0))
| ~ holds(clear(a),do(putdown(a,c),X0))
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f133,f7]) ).
fof(f158,plain,
! [X0] :
( ~ holds(clear(d),do(putdown(a,c),X0))
| ~ holds(clear(a),do(putdown(a,c),X0))
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f153,f6]) ).
fof(f159,plain,
! [X0] :
( ~ holds(clear(d),do(putdown(a,c),X0))
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f158,f8]) ).
fof(f190,plain,
! [X0] :
( ~ holds(holding(a),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f147,f159]) ).
fof(f191,plain,
! [X0] :
( ~ holds(clear(d),do(pickup(a),X0))
| ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f190,f92]) ).
fof(f193,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f191,f122]) ).
fof(f196,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f193,f121]) ).
fof(f202,plain,
! [X0,X1] :
( ~ holds(clear(c),do(putdown(X0,table),X1))
| ~ holds(clear(a),do(putdown(X0,table),X1))
| ~ holds(empty,do(putdown(X0,table),X1))
| ~ holds(clear(d),X1) ),
inference(resolution,[],[f196,f68]) ).
fof(f478,plain,
! [X0] :
( ~ holds(clear(a),do(putdown(c,table),X0))
| ~ holds(empty,do(putdown(c,table),X0))
| ~ holds(clear(d),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(table),X0) ),
inference(resolution,[],[f202,f8]) ).
fof(f479,plain,
! [X0] :
( ~ holds(clear(a),do(putdown(c,table),X0))
| ~ holds(clear(d),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(table),X0) ),
inference(forward_subsumption_resolution,[],[f478,f6]) ).
fof(f480,plain,
! [X0] :
( ~ holds(clear(a),do(putdown(c,table),X0))
| ~ holds(clear(d),X0)
| ~ holds(holding(c),X0) ),
inference(forward_subsumption_resolution,[],[f479,f30]) ).
fof(f481,plain,
! [X0] :
( ~ holds(holding(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f480,f58]) ).
fof(f484,plain,
! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f481,f94]) ).
fof(f740,plain,
! [X0] :
( ~ holds(clear(a),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,[],[f484,f3]) ).
fof(f742,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0) ),
inference(duplicate_literal_removal,[],[f740]) ).
fof(f773,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f742,f44]) ).
fof(f781,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f773,f24]) ).
fof(f782,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[],[f781,f29]) ).
fof(f784,plain,
~ holds(clear(a),s0),
inference(forward_subsumption_resolution,[],[f782,f28]) ).
fof(f786,plain,
$false,
inference(forward_subsumption_resolution,[],[f784,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PLA023-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 22:10:04 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 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
% 0.08/0.37 % (2804129)Will run a generic schedule for satisfiability detection.
% 0.08/0.37 % (2804135)% WARNING: option uhcvi not known.
% 0.08/0.37 % (2804140)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3926369338:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.37 % (2804134)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4096787583_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.37 % (2804138)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2449435720:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.37 % (2804137)dis+10_1_sil=32000:sp=arity:random_seed=2619185631:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.37 % (2804136)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3460549081:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.37 % (2804135)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3827963975:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.37 % (2804139)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1276642280:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.37 % TRYING [1]
% 0.08/0.37 % TRYING [2]
% 0.08/0.37 % TRYING [3]
% 0.08/0.37 % TRYING [4]
% 0.08/0.37 % (2804138) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2804129-2804138"...
% 0.08/0.37 % (2804138)...printing done.
% 0.08/0.37 % (2804138)Refutation found. Thanks to Tanya!
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.37 % (2804138)------------------------------
% 0.08/0.37 % (2804138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.37 % (2804138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.37 % (2804138)CaDiCaL version: 2.1.3
% 0.08/0.37 % (2804138)Termination reason: Refutation
% 0.08/0.37 % (2804138)Time elapsed: 0.014 s
% 0.08/0.37 % (2804138)Peak memory usage: 11 MB
% 0.08/0.37 % (2804138)Instructions burned: 45 (million)
% 0.08/0.37 % (2804129)Success in time 0.04 s
% 0.08/0.37 % Vampire exiting
%------------------------------------------------------------------------------