%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN527-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 02:17:28 PM UTC 2026
% Result : Satisfiable 0.08s 0.26s
% Output : Saturation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u87,negated_conjecture,
~ c2_0 ).
cnf(u92,negated_conjecture,
c4_0 ).
cnf(u104,negated_conjecture,
c3_0 ).
cnf(u107,negated_conjecture,
ndr1_0 ).
cnf(u116,negated_conjecture,
c4_1(a270) ).
cnf(u122,negated_conjecture,
ssSkC1 ).
cnf(u139,negated_conjecture,
~ c1_0 ).
cnf(u143,negated_conjecture,
( c3_1(X0)
| c4_1(X0) ) ).
cnf(u166,negated_conjecture,
( c1_1(X0)
| ndr1_1(X0) ) ).
cnf(u222,negated_conjecture,
ssSkC0 ).
cnf(clause10,negated_conjecture,
( ssSkP0(X0)
| ndr1_1(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN527-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:32:24 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.26 % (468719)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (468728)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4175791560:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (468728) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-468719-468728"...
% 0.08/0.26 % (468728)...printing done.
% 0.08/0.26 % (468725)% WARNING: option uhcvi not known.
% 0.08/0.26 % SZS status Satisfiable for theBenchmark
% 0.08/0.26 % SZS output start Saturation.
% See solution above
% 0.08/0.26 % SZS output start Definitions and Model Updates.
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_0 | ~c1_0 | ~c4_0 is false, set ~c4_0 to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_0 | ndr1_1(a258) is false, set ndr1_1(a258) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c5_0 | ~c1_0 | ndr1_1(a267) is false, set ndr1_1(a267) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c1_0 | ndr1_1(a262) is false, set ndr1_1(a262) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c3_0 | ~c4_0 | ndr1_1(a265) is false, set ndr1_1(a265) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkC0 | ndr1_1(a252) | c2_0 is false, set ndr1_1(a252) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkC1 | ~c5_1(X0) | ~c3_1(X0) | ~ndr1_0 | c2_1(X0) | ndr1_1(a270) is false, set ndr1_1(a270) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c1_0 | c2_2(a262,a263) is false, set c2_2(a262,a263) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c4_2(a267,a268) | ~c5_0 | ~c1_0 is false, set ~c4_2(a267,a268) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c3_2(a262,a263) | ~c1_0 is false, set ~c3_2(a262,a263) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_1(X0) | ~ndr1_0 | c4_1(X0) | c3_1(X0) | ndr1_1(a275) | c4_0 is false, set c3_1(X0) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_0 | c5_2(a258,a259) is false, set c5_2(a258,a259) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkC1 | ~c5_1(X0) | ~c3_1(X0) | ~ndr1_0 | c2_1(X0) | c5_2(a270,a271) is false, set c5_2(a270,a271) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever c5_2(X0,a254) | ssSkP0(X0) is false, set c5_2(X0,a254) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkC0 | c5_2(a252,a253) | c2_0 is false, set c5_2(a252,a253) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkP0(X0) | ~c2_1(X0) | ~ndr1_0 | c4_2(X0,a255) | c3_0 | c2_0 is false, set c4_2(X0,a255) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkC0 | c4_2(a252,a253) | c2_0 is false, set c4_2(a252,a253) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c4_2(X0,X1) | ~c5_2(X0,X1) | ~c2_2(X0,X1) | ~ndr1_1(X0) | ~c1_1(X0) | ~c4_1(X0) | ~ndr1_0 | c1_0 | c4_0 is false, set ~c2_2(X0,X1) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_2(X0,a254) | ssSkP0(X0) is false, set ~c2_2(X0,a254) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_1(X0) | ~ndr1_0 | ~ndr1_1(a275) | c4_1(X0) | c3_1(X0) | c1_2(a275,X1) | c2_2(a275,X1) | c4_0 is false, set c3_1(X0) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_1(X0) | ~ndr1_0 | c4_1(X0) | c3_1(X0) | c4_2(a275,a276) | c4_0 is false, set c3_1(X0) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c5_2(a262,a263) | ~c1_0 is false, set ~c5_2(a262,a263) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_1(X0) | ~ndr1_0 | ~c5_2(a275,a276) | c4_1(X0) | c3_1(X0) | c4_0 is false, set ~c5_2(a275,a276) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkP0(X0) | ~c5_2(X0,a255) | ~c2_1(X0) | ~ndr1_0 | c3_0 | c2_0 is false, set ~c5_2(X0,a255) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_0 | c3_2(a258,a259) is false, set c3_2(a258,a259) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkC1 | ~c5_1(X0) | ~c3_1(X0) | ~ndr1_0 | c2_1(X0) | c3_2(a270,a271) is false, set c3_2(a270,a271) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ndr1_0 | c3_2(X0,a261) | c1_1(X0) | c2_0 is false, set c3_2(X0,a261) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c3_0 | ~c5_0 | ~c2_0 is false, set ~c5_0 to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c1_1(X0) | ~ndr1_0 | c5_2(X0,a269) | c4_1(X0) | ssSkC1 is false, set c5_2(X0,a269) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c3_0 | ~c4_0 | c5_2(a265,a266) is false, set c5_2(a265,a266) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c5_0 | ~c1_0 | c3_2(a267,a268) is false, set c3_2(a267,a268) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkC1 | ~c5_1(X0) | ~c3_1(X0) | ~ndr1_0 | ~c2_2(a270,a271) | c2_1(X0) is false, set ~c2_2(a270,a271) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ndr1_1(a251) | c2_2(a251,X0) | c4_2(a251,X0) | ssSkC0 is false, set c4_2(a251,X0) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ndr1_0 | c4_2(X0,a261) | c1_1(X0) | c2_0 is false, set c4_2(X0,a261) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_2(a265,X0) | ~ndr1_1(a265) | ~c3_0 | ~c4_0 | c4_2(a265,X0) | c3_2(a265,X0) is false, set c4_2(a265,X0) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_1(X0) | ~ndr1_0 | c4_1(X0) | c3_1(X0) | c1_2(a275,a276) | c4_0 is false, set c1_2(a275,a276) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ndr1_1(a258) | ~c2_0 | c1_2(a258,X0) | c3_2(a258,X0) is false, set c1_2(a258,X0) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ndr1_0 | c1_2(X0,a261) | c1_1(X0) | c2_0 is false, set c1_2(X0,a261) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c1_2(X0,a272) | ssSkP1(X0) is false, set ssSkP1(X0) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c2_2(X0,a272) | ssSkP1(X0) is false, set ssSkP1(X0) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkP1(X0) | ~c3_2(X0,X1) | ~c2_2(X0,X1) | ~ndr1_1(X0) | ~c5_2(X0,a273) | ~ndr1_0 | ~c3_0 | c1_2(X0,X1) is false, set c1_2(X0,X1) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkP1(X0) | ~c3_2(X0,X1) | ~c2_2(X0,X1) | ~ndr1_1(X0) | ~ndr1_0 | ~c3_0 | c1_2(X0,X1) | c2_2(X0,a273) is false, set c1_2(X0,X1) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c3_0 | ~c4_0 | c1_2(a265,a266) is false, set c1_2(a265,a266) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c5_0 | ~c1_0 | c1_2(a267,a268) is false, set c1_2(a267,a268) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkC0 | c1_2(a252,a253) | c2_0 is false, set c1_2(a252,a253) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever c1_2(a256,a257) | c4_0 | c2_0 is false, set c1_2(a256,a257) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~ssSkC1 | ~c5_1(X0) | ~c3_1(X0) | ~ndr1_0 | ~c5_1(a270) | c2_1(X0) is false, set ~c5_1(a270) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c5_1(a274) | ~c1_0 | ~c5_0 is false, set ~c5_1(a274) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ndr1_1(X0) | ssSkP1(X0) is false, set ssSkP1(X0) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c5_1(a262) | ~c1_0 is false, set ~c5_1(a262) to true
% 0.08/0.26 for all groundings,
% 0.08/0.26 whenever ~c5_1(a264) | c5_0 | c3_0 is false, set ~c5_1(a264) to true
% 0.08/0.26 % SZS output end Definitions and Model Updates.
% 0.08/0.26 % (468728)------------------------------
% 0.08/0.26 % (468728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (468728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (468728)CaDiCaL version: 2.1.3
% 0.08/0.26 % (468728)Termination reason: Satisfiable
% 0.08/0.26 % (468728)Time elapsed: 0.002 s
% 0.08/0.26 % (468728)Peak memory usage: 11 MB
% 0.08/0.26 % (468728)Instructions burned: 3 (million)
% 0.08/0.26 % (468719)Success in time 0.033 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------